# Geometry

7. What is the surface area of a conical grain storage tank that has a height of 24 meters and a diameter of 16 meters? Round the answer to the nearest square meter. (1 point)
837 square meters
848 square meters
1,991 square meters
1,923 square meters
8. The lateral area of a cone is 574picm2. The radius is 29 cm. What is the slant height to the nearest tenth of a centimeter? (1 point)
9.9 cm
6.3 cm
19.8 cm
12.6 cm

1. 👍
2. 👎
3. 👁
1. http://www.calculatorsoup.com/calculators/geometry-solids/cone.php

1. 👍
2. 👎
2. Not clear if we want only the lateral surface area or the area including the base.
Including the base does not make a not of sense in a storage container for grain, but ...

LSA = πrl, where l is the slant height
l^2 = 24^2 + 8^2
l = √640

LSA = π(8)√640
= appr 635.81 ---> not one of the choices
so let's add the base area, which 64π or 201.06
for a total of 836.88
I see 837

2nd question:

1. 👍
2. 👎
3. What's the second ?

1. 👍
2. 👎
4. What’s the second answe?

1. 👍
2. 👎
5. To find the slant height of a cone with lateral area of 574 \pi \, cm^2 and a radius of 29 cm, we recall that the lateral area of a cone is given by
A_L=\pi rl
where l is the slant height of the cone.

Thus, l= \frac{A_L}{\pi r} = \frac{574\pi}{29\pi} \approx 19.79 \, cm

1. 👍
2. 👎
6. that's the answer to the second question

1. 👍
2. 👎

## Similar Questions

1. ### Math

5. Find the surface area of the cylinder to the nearest whole number. (1 point)1,659 in.2 898 in.2 5,862 in.2 2,959 in.2 6. Find the surface area of the pyramid shown to the nearest whole number. (1 point)1,540 m2 770 m2 396 m2

2. ### Math

A school water tank is in the shape of a frustum of a cone. The height of the tank is 7.2 m and the top and bottom radii are 6m and 12 m respectively. (a) Calculate the area of the curved surface of the tank, correct to 2 decimal

3. ### math

A storage tank has a radius of x + 5 metres and a height of x metres. Determine the dimensions of the tank if the volume is 192ð m3? . Round your answers to two decimal places.

4. ### Physics

A./_\ B.\_/ C.|_| The three tanks shown above are filled with water to an equal depth. All the tanks have an equal height. Tank A has the greatest surface area at the bottom, tank B the least and tank C the middle. (Select T-True,

1. ### math

i need help with geometry semester b unit 7 lesson 10 surface area and volume unit test i need someone to check my anwsers and to tell what i did wrong 1) use euler's formula to find the missing number vertices 15 edges 24 faces?

2. ### 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

3. ### maths

A storage tank is in the shape of a right circular cylinder that has a diameter of 20 inches and a height of 3yards. if oil costs \$2 per cubic foot, what does it cost to fill the storage tank oil?

4. ### Calculus

A storage tank used to hold sand is leaking. The sand forms a conical pile whose height is twice the radius of the base. The radius of the pile increases at the rate of 2 inches per minute. Find the rate of change of volume when

1. ### math

find the surface area of a Cylindrical grain silo with hemispherical top height=71 diamatere=62

2. ### numerical methods

Consider a spherical storage tank containing oil. The tank has a diameter of 8 ft. You are asked to calculate the height h to which a dipstick 10 ft long would be wet with oil when immersed in the tank when it contains 6 3 ft of

3. ### geometry

A grain storage tank is in the shape of a cylinder covered by half a sphere. The height of the cylinder is 50 feet and its diameter is 80 feet. find the total surface area (including the base) and volume of the tank.

4. ### Geometry

What is the surface area of a conical grain storage tank that has a high of 62 meters and a diameter of 24 meters? Round the answer to the nearest square meter. A)2,381m^2 B)2,790m^2 C)2,833m^2*** D)6,571m^2 My answer is C but I