# Math--Volume and Surface Area

163,108 results

### Science

For this activity, we had to make cube shaped models to represent cells. Then we had to compare surface area, volume, and surface area to volume ratio (SA:V) between the cells.  Cell A:  length of one side=1cm  Surface area= 6cm^2  Volume= 1cm^3  SA:V= 6  Cell B:  ...

### science

For this activity, we had to make cube shaped models to represent cells. Then we had to compare aurafve area, volume, and surface area to volume ratio (SA:V) between the cells. Cell A: length of one side=1cm Surface area= 6cm^2 Volume= 1cm^3 SA:V= 6 Cell B: Length of one side...

### Math

What is the surface area and volume of a composite figure made up of a hemisphere and a cone in terms of pi? The radius is 10, and the slant height is 15. Are my answers right? Cone surface area: π(10)(15) = 150π Hemisphere surface area: 2π(10)^2 = 200π 350...

### Math

Optimization Problem A right circular cylindrical can of volume 128tπ cm^3 is to be manufactured by a company to store their newest kind of soup. They want to minimize the surface area of the can to keep costs down. What are the dimensions of the can with minimum surface ...

### biology

Why is a large surface area : volume ratio needed for cells to function properly? a.Adequate surface area (plasma membrane) is needed to furnish nutrients to and expel wastes from the volume (cytoplasm). b. Smaller volumes reduce and larger surface areas reduce the cell's ...

### Calculus

a rectangular box of given volume is to be "a" times long as it is wide. find the dimension for which it has the least total surface area ? L= aw Total surface area= 2LW + 2Lh + 2Wh = 2aw^2 + 2awh + 2wh But volume= lwh= 2aw^2 h or h= V/2aw^2 Total Surface area= = 2aw^2 + 2awV/...

### algebra

use 1.9 as the radius for the sphere and answer the following 1-volume = 2-surface area= 3-ratio of the volume to surface area= remember everything is with the sphere and radius 1.9 you have to use them to answer the volume, surface area, ratio of the volume to surface area

### Math--Volume and Surface Area

The volume of a cube is 125 cubic inches. Find the surface area. I know that the volume formula is V=Bh where v=volume, B=area of the base, and h=height. How do I get the surface area though? Also, The surface area of a cube is 384 square cm. Find the volume. I think it's ...

### Math

What is the surface area and volume of a composite figure made up of a hemisphere and a cone in terms of pi? The radius is 10, and the slant height is 15. Ans: surface area: 350 pi units^2 volume: 1039.4 pi units^3

### math

Analyze It Questions: 1. Since the purpose of an ice cube is to keep a drink cold, is it better for an ice cube to have a high volume or a low volume? Why? (At least 3 sentences.) 2. Since heat touching the surface of an ice cube causes it to melt, is it better for an ice cube...

### Math

I am doing a project, are my answers correct? 1. Find and simplify the volume-to-surface-area ratio for each of the three possible ice cube shapes. You can use this chart. |Shape| S/A Formula|Volume Formula Cube | S.A=6s^2 | V=s^3 6/s Sphere|S.A+4 pi r^2|V=4/3 pi r^3 3/r ...

### Math 11 Surface area, Volume and Capacity

A cylindrical tin can has a radius of 4.5cm and a height of 5 cm (a)What is the surface area of the can (b)What is its volume? (c)What is the cans capacity

### surface area & volume

How can I find the surface area and volume of a hexagonal prism if I don't know the height, only apothem and one side of the base? Thank you!

### volume:ration

A worm has a diameter of 2.4cm and its length is upto 1.9M. a)How do I calculate the surface area? b)How do I calculate the volume? c)How do I work out the volume ratio of the worm? Please help! Thanx kim xxx Surface area= PI*2*radius * length] Volume= PI * radius^2 * length ...

### Bio

Please Check my work and help me to answer the questions i could not get. Measure the cube that you are given. Complete the chart on the next page for your cube, then fill in the spaces for two other cubes, one measuring 1 cm on an edge and the other measuring 0.5 cm on a side...

### Bio

Please Check my work and help me to answer the questions i could not get. Measure the cube that you are given. Complete the chart on the next page for your cube, then fill in the spaces for two other cubes, one measuring 1 cm on an edge and the other measuring 0.5 cm on a side...

### science

for the three cubes shown below, determine their surface area, volume and surface area to volume ratio. Then circle the one you believe would be the most efficient and write a summary stating why. 1.5 cm x 1.5 cm x 1.5 cm .5 cm x .5 cm x 6 cm 3 cm x 2 cm x 2 cm

### bio

3. For the three cubes shown below, determine their surface area, volume and surface area to volume ratio. Then, circle the one you believe would be the most efficient and write a summary stating why

### science

1. For the three cubes shown below, determine their surface area, volume and surface area to volume ratio. Then, circle the one you believe would be the most efficient and write a summary stating why.

find the surface area and volume of the right circular cylinder. The radius is 3 and height 6. This is what I put for volume: v=pir^2h pi(3cm)^2 6 cm= 54pi cm cubed can you please check this and show work on how to do the surface area? Thanks.

### Math

If the surface area of a certain body of water is 200 ft ^2 and the surface area to volume ration is 1:13; what is the volume of the body of water? I can't figure out the formula and answer to this problem.

### math/algebra

The surface area of a rectangular prism is SA=2lw+2wh+2lh. The volume of a rectangular prism is V=lwh. Write an expression for the ration of surface area to volume.

### maths

the ratio of total surface area to the curved surface area of a right circular cylinder is 3:2 find the volume if its total surface area is 14784 cm2

### math

Please help with this problem. Compute the following volume and surface area. A rectangular solid has sides of 7 cm, 9 cm, and 11 cm. What is its surface area. ________ square centimeters

### math

the volume of an cylindrical can with a radius r cm and height h cm is 128000 c^3, show that the surface area of the can is A=2(22/7)r^2 + 246000/r. Find the value for r to minimize the surface area. *i know what the quest. ask but i do not know how to apply it.

### math

The volume of two similar rectangular prisms are 64cm^3 and 1000cm^3. The surface area of the smaller figure is 112cm^2. What is the surface area in square centimeters of the

### Science

What are the surface area, volume, surface area:volume, and distance of diffusion for the following dimensions: 1 cm x 1 cm x 1 cm 2 cm x 2 cm x 2 cm 1 cm x 1 cm x 6 cm

### Calculus-Optimal Form: need help... please

Suppose you are designing a coffee creamer container that has a volume of 48.42 cubic inches. Use the surface area and volume of a cylinder to develope an eqn. relating radius r and surface area S. ¡Ç=pi=3.14 S=2¡Çr^2+2¡Çrh V=¡Çhr^2

### Math

The size to which a pumpkin grows while on the vine is probably problematic, as our current visiting POLY pumpkins demonstrate. What if we were watching a pumpkin on the vine grow over time and that its shape was totally spherical. Now for your five (5) tasks: 1. Initially we ...

### surface area and volume

I really need some help, I don't fully understand. Exspecially with fractions, don't know how to enter them on calculator. 1. What is the approximate volume of the sphere? 524 m³ (my choice) 1,000 m³ 1,256 m³ 1,570 m³ 2. What is the approximate surface area of the sphere? ...

I do not want to fail this, could you please help me with number 1 and 3.D, and then check my other answers? Thank you. 1. Find and simplify the volume-to-surface-area ratio for each of the three possible ice cube shapes. You can use this chart. |Shape| S/A Formula|Volume ...

### Science

What are some ways (at least two) that cells can increase their (Unicellular and multi-cellular organisms) surface area to volume ratio without splitting into multiple cells?  One way that cells can increase their surface area to volume ratio without splitting into multiple ...

### math

The earth has a radius of 6,380 km. The formula for the volume of a sphere is �� V = 4/3 ðx^3, and the formula for surface area of a sphere is A = 4ðx^2 . Find the volume and surface area of the earth and write the answer in scientific notation with two numbers...

### Math

There are boxes without tops. Find the box with the least surface area for a given volume, V. Make a diagram (if you can). Hint: Volume=x^2y Area=x^2+4xy

### Math

Are these correct: 1a) Find the lateral surface area in square inches of the cone with the following dimensions: h= 24 in, radius = 10 in, slant height = 26 in. (Use Pi= 3.14) I didn't know how to do: Lateral Surface Area = ______ square inches (exact answer) 1b) Find the ...

### Volume and Surface Area

Find the exact surface area and volume of a right square pyramid with a radius of 2 inches and a height of 6 inches.

if the surface area of a sphere equals the surface area of a cube, what is the ratio of the volume of the sphere to the volume of the cube?

What are some ways (at least two) that cells can increase their (Unicellular and multi-cellular organisms) surface area to volume ratio without splitting into multiple cells? One way that cells can increase their surface area to volume ratio without splitting into multiple ...

### chemistry

How do you solve this problem? In a certain industrial process involving a heterogeneous catalyst, the volume of the catalyst (in the shape of a shpere) is 10.0cm^3. Calculate the surface area of the catalyst. IF the sphere is broken down into eight spheres, each having a ...

### Math

the pretty perfume company designed a new perfume bottle. The bottle is to be a spherical shape with a diameter of 7cm. a) determine the volume and surface area of this bottle. b) The spherical bottle has a conical shaped lid with a diameter of 5cm and a height of 4.5cm. ...

### surface area and volume

A rectangular prism has a volume of 48 cubic feet and surface area of 88 square feet. what are its dimensions? plz help me

### Volume and surface area

A rectangular prism has a volume of 48 cubic feet and surface area of 88 square feet. what are its dimensions? plz help me

### Biology

When cells increase in size, the surface area to volume ratio decreases. But which surface area to volume ratio is better to the cell as well as to the organism? The larger or smaller ratio?

### Math

The surface area of a golf ball is 8.92 in ^2. The surface area of a softball is 53.78. Find the ratio of the volumes of a golf ball to a softball. Surface Area = 4π r^2 and Volume = 4/3π r^3 I don't understand this problem, could someone please help me?

### math

looking at a square pyramid, if the size of the base remains the same and the height of the pyramid varies what are the minimum surface area and minimum volume the pyramid can have? The base is showing 2 in and the line on the right side of the base which I believe is also ...

### Biology

hello my teacher today during our Biology lesson said : Diffusion occurs more easily in smaller organisms because they have a bigger surface area than theie volume from inside But us humans , we have more problems id diffusing because we have a smalller surface area I did not ...

### Calc

Air is being pumped into a spherical balloon so that its volume increases at a rate of 90{cm}^3/s. How fast is the surface area of the balloon increasing when its radius is 7{cm}? Recall that a ball of radius r has volume \displaystyle V={4}/{3}pie r^3 and surface area S=4\pi r^2

### Math-Algebra 2

The surface area of a golf ball is 8.92 in ^2. The surface area of a softball is 53.78 in ^2. Find the ratio of the volumes of a golf ball to a softball. Surface Area = 4π r^2 and Volume = 4/3π r^3 I'm not sure if I did this problem right, but I think the answer is 0...

### calc

the volume of a cylindrical tin can with a top and a bottom is to be 16*pi cubic inces. if a minimum amont of tin is to be used to construct the can, what must be the height, in inches, of the can? volume of cyliner is pi*r^2*h do i like take derivitive of something since it ...

### math

For this assignment, you will be finding the surface area and the volume of three different spherical objects. You will need to find three objects and measure the distance around the center using a ruler or tape measure. Show all work! I am using a lemon first. How do I get ...

### math

If the volume of a cylindrical block is equal to 800cm^3 prove that the total surface area is equal to 2(pi)x^2 + (1600)/x, where x cm is the radius of the base. hence obtain the value x which makes the surface area a minimum.

### MATH

If the volume of a cylindrical block is equal to 800cm^3 prove that the total surface area is equal to 2(pi)x^2 + (1600)/x, where x cm is the radius of the base. hence obtain the value x which makes the surface area a minimum

### geometry

I found the volume of six cubes to total 336 cubic inches. How do I change the volume to surface area? I need to find the Find the total Surface Area

### Calculus I

The volume of a sphere is changing at a rate of 8pi cm/sec. What is the rate of change of its surface area when the radius is 1? (the volume of a sphere is given by V=4/3pir^3 and its surface area, by A=4pi r ^2).

### math

3.A rectangular prism has a width of 92ft and a volume of 240ft.Find the volume of a similar prism with a width of 23ft.Round to the nearest tenth, if necessary. 4.A pyramid a height of 5in. and a surface area of 90in^2.Find the surface area of a similar pyramid with a height ...

### Surface Area and Volume

Hi I am confused on how to get the correct answer. The question states: What is the surface area of the sphere if the radius is 16 cm? Please show your work. Thank you!

Rectangular Prism: Length: 41 ft Width: 32 ft Height: 49 ft 1. Find the surface area for the given prism. (1 point) 7,154 ft^2 2,624 ft^2 9,778 ft^2 8,432 ft^2. Find the volume of the same prism. (1 point) 64,288 ft^3 31,312 ft^3 32,009 ft^3 323,208 ft^3 i know the formulas ...

### Calculus

Air is being pumped into a spherical balloon so that its volume increases at a rate of 80 cm^3 per second. How fast is the surface area of the balloon increasing when its radius is 9cm? * ball of radius r has volume V=(4/3)pi r^3 and surface area S=4pir^2 ** I try to do it ...

### Algebra

How would the surface area and volume of a prism change if it was a pyramid. How would the surface area and volume change if a cylinder became a cone?

The volume of a sphere is V = 14,130 ft3. What is its surface area? What is it's radius? The volume of a sphere is V = 4443 m3. What is its surface area? What is it's radius?

### calc rates

Air is being pumped into a spherical balloon so that its volume increases at a rate of 50cm3/s. How fast is the surface area of the balloon increasing when its radius is 11cm? Recall that a ball of radius r has volume V=43πr3 and surface area S=4πr2.

### Math 209

If a cylindrical container has a volume of cubic feet, then its surface area S in square feet (excluding the top and bottom) is given by S = s=(2π )/r where r is the radius of the cylinder. (a) Calculate S when r =1/2 foot (b) What happens to this surface area when r ...

### math

A rectangular prism has a volume of 8 cubic yards. Assume the dimensions are whole numbers. What dimensions yield a prism with the greatest surface area? the leaset surface area?

### Geometry plz help

A rectangular solid has a top face with surface area of 28 ft, a front face with surface area of 20 ft, and a side face with surface area of 70 ft. What is the volume of this solid?

### Calculus

For a cylinder with a surface area of 90, what is the maximum volume that it can have? Round your answer to the nearest 4 decimal places. The volume of a cylinder is πr^2*h and the surface area is 2πrh+2πr^2.

### mathematics

the pretty perfume company designed a new perfume bottle. The bottle is to be a spherical shape with a diameter of 7cm. a) determine the volume and surface area of this bottle. b) The spherical bottle has a conical shaped lid with a diameter of 5cm and a height of 4.5cm. ...

### math

Okay. So i'm doing this project for my geometry class about different sports, soccer, baseball, basketball, bowling, golf, volleyball and pool. I have to find the surface area, volume, diameter, circumference, and radius of each of the balls. I got a circumference for each one...

### Calculus/Derivitives

A regular tetrahedron is a four sided pyramid with each side being an equilateral triangle. Let x be the length of the triangle's side. a) Prove that the surface area of a tetrahedron is V=x(cubed)(root)2/12 b) Prove that the surface area of a tetrahedron is SA=x(squared)(root...

### Math

I really do not want to fail this project, could anyone please help me understand this and go through step by step with me? Thank you so much. Modern Design magazine is having a contest to design the best ice cube in one of three shapes¡Xa cube, a sphere, or a cylinder. Use ...

### Calculus: need clarification to where the #'s go

Air is being pumped into a spherical balloon so that its volume increases at a rate of 80 \mbox{cm}^3\mbox{/s}. How fast is the surface area of the balloon increasing when its radius is 14 \mbox{cm}? Recall that a ball of radius r has volume \displaystyle V=\frac{4}{3}\pi r^3 ...

### geometry

Two similar solids have a scale factor of 3:5. If the height of solid I is 3 cm, find the height of solid II. If the surface area of I is 54pi cm squared, find the surface area of II. If the volume of II is 250pi cubed, find the volume of I

### Biology

Compared with a smaller cell, a larger cell of the same shape has a. the same surface-to-volume ratio. b. a smaller cytoplasm-to-nucleus ratio. c. less surface area. d. a smaller average distance between its mitochondria and the nucleus. e. less surface area per unit of volume...

### calculus

Suppose the volume, V , of a spherical tumour with a radius of r = 2 cm uniformly grows at a rate of dV/dt= 0.3 cm^3/day where t is the time in days. At what rate is the surface area of the tumour increasing? The volume of a sphere is given by V =4 3πr^3and the surface ...

### Calculus

Assume you wish to make a box whose base is a rectangle with one side twice as long as the other side and whose volume is 100 m^3. What would the minimum surface area be, if there is a minimum surface area? b) Under the same sceenerio as in (a), what would the maximum surface ...

### 3D Shapes & Scale

An object is scaled up to be 1000x as large. How does the new surface area compare with the original surface area? How does the new volume compare with the original volume?

### Calculus (Parts A and B done, just help with C)

The radius, r, of a sphere is increasing at a constant rate of 0.05 meters per second. A. At the time when the radius of the sphere is 12 meters, what is the rate of increase in its volume? B. At the time when the volume of the sphere is 36pi cubic meters, what is the rate of ...

### math 12

A)a shed, in the shape of a square based prism, is to have volume 800meters cubed. determin the dimentions of the shed, with the minimum surface area. B)how would the answer change if the minimum surface area did not include the bottem of the shed? explain.

### Maths

(1) A cone has height of 8cm and circular radius 6cm calculate (a) It's Volume (b) It's Slant Height (c) The Curved Surface Area (d) The Total Surface Area

### calculus *improper integrals*

A hole of a radius of 1cm is pierced in a sphere of a 4cm radius. Calculate the volume of the remaining sphere. I know that the volume of a sphere with an exterior radius is of: V = pie(R^2 - r^2) dH where R^2 is the exterior surface area and r^2 is the interior surface area. ...

### surface area and volume

The diameter of two cones are equal if their slant height are in the ratio 5:4, find the ratio of their curved surface area

### Math for Ms. Sue please! Last math questions!

For numbers 1–3, find the indicated measurement of the figure described. Use 3.14 for pi and round to the nearest tenth. Find the surface area of a sphere with a radius of 8 cm. 267.9 cm^2 803.8 cm^2 2143.6 cm^2 201.0 cm^2 Find the surface area of a sphere with a diameter of...

### Geometry

The volume of two similar rectangular prisms are 64cm^3 and 1000cm^3. The surface area of the smaller figure is 112cm^2. What is the surface area in square centimeters of the larger figure?

### Math

A cylinder has a height of 15 inches and a diameter of 12 inches. Use pi = 3.14 What is the Lateral Surface Area? What is the volume ? 1697 cubic inches how do i do lateral surface area

### Math

A rectangular prism has a volume of 960cm. It's width, length, and height are in the ratio 3:5:8. A) Determine the dimensions of the prism B) What is the ratio of the left side to the front to the top of the prism by surface area? C) Calculate the surface area of the prism.

### Math

A cylindrical storage tank has a height of 100 feet and a diameter of 10 feet. (Use pi = 3.14) What is the lateral surface area of the tank? How do i find lateral surface area of the tank What is the volume? 7850 cubic feet What is the volume in gallons of water if 7.48 ...

### Math

A cylindrical storage tank has a height of 100 feet and a diameter of 10 feet. (Use pi = 3.14) What is the lateral surface area of the tank? How do i find lateral surface area of the tank What is the volume? 7850 cubic feet What is the volume in gallons of water if 7.48 ...

### Maths

If the volume of a cylindrical block is equal to 800cm^3 prove that the total surface area is equal to 2(pi)x^2 + (1600)/x, where x cm is the radius of the base. hence obtain the value x which makes the surface area a minimum.

### bio

How does the surface area-to-volume ratio of a 1-mm cube compare to the surface area-to- volume ratio of a 3-mm cube? 1. The ratio does not change. 2. The ratio increases as the cube becomes larger. 3. Increasing the volume increases the ra- tio. 4. The 3 mm cube has a higher ...

### geometry

The volume of two similar solids is 1331 m3 and 729 m3. The surface area of the larger solid is 605 m2. What is the surface area, in square meters, of the smaller solid? Answer A. 81 B. 121 C. 305 D. 405

### MATHS

Hi Just checking The area of one face of a cube is 64cm squared What it the total surface area of the cube? DO we do 64 times 6 and the answer is 384 cm cubed? Also it askes what is the volume I do 64 cubed which is 262144 cm cubed ? AM I right ? yes- the total surface area is...

You need to make a soda can with a volume of 29 cubic inches. Find the surface area. calculate the following: a) How much material is needed if the can's radius is 2 inch? Answer with the help of Reiny, but doing it with a different radius to make sure I got it. let the height...

### Math

A spherical balloon expands uniformly as it is inflated. The radius of the balloon in r meters at time t seconds. Find the radius, the volume, and the surface area of the balloon when the rates of increase of the surface area of the balloon and the radius are numerically equal

### Geometry

I need an example of two cereal boxes that have the same volume but different surface area. I need the brand and box sizes. Then I need to pick one of the cereal boxes and redesign it so that it has the same volume but less surface area. Why do you think most products are not ...

### Algebra 1

Earth has a radius of about 6.4 x 10 to the 6th power m. Approximate the surface area of earth using the formula for the surface area is a sphere, S = 4 pi r squared. Earths surface is about 70 percent water. About how many square meters of earths surface are covered with ...

### calculus

A hole of a radius of 1cm is pierced in a sphere of a 4cm radius. Calculate the volume of the remaining sphere. I know that the volume of a sphere with an exterior radius is of: V = pie(R^2 - r^2) dH where R^2 is the exterior surface area and r^2 is the interior surface area. ...

### Surface Area

[Given] Fiber Linear Density = 1 denier = 1 g/9000m Fiber Density = 1.14 g/cm^3 [Find..] Fiber surface area in cm^2/g Assume that the fiber strand is a uniform cylinder [Answer] Surface area = 3,150 cm^2/g ....... how do i get to the answer? my professor gives us these notes: ...

### geometry/algebra

I asked this question yesterday, and I'm trying to understand it since I got the wrong answer - please explain: You need to make a soda can with a volume of 29 cubic inches. Find the surface area. calculate the following: a) How much material is needed if the can's radius is 1...

### math

A 12 cm by 12 cm ice cube tray is in the shape of a cuboid with twelve hemispheres inset. The depth of each hemispheres is 1 cm. a) If all the hemispheres were filled with water, calculate the total volume of water that the ice cube tray could hold. It is now desired to paint ...

### geometry

Pyramid has a base 6 yards X 6yards. Its height is 4 yards. Volume= Surface Area= I got 60 square yards for the surface area but it was wrong.

### Math ASAP

Height: 10 inches Base Perimeter: 40 inches Lateral Surface Area: 400 square inches (^^^this is the total surface area of the sides) What is the Surface Area of the triangular prism?