# A cone just fits inside a cylinder with volume 300cm^3. What is the volume of the cone?

23,033 results
1. ## Geometry

8. The lateral area of a cone is 555πcm^2. The radius is 15.1 cm. What is the slant height to the nearest tenth of a centimeter? A. 36.8 cm B. 11.7 cm C. 83.8 cm*** D. 25.5 cm 10. What is the volume of the given prism? Round the answer to the nearest

2. ## MATH QUIZ PLS HELP!!!

1.Find the lateral area of a cone with a radius of 7 ft. and a slant height of 13 ft. Use 3.14 for ©£ and round to the nearest tenth. 439.6 ft^2 324.5 ft^2 571.5 ft^2 285.7 ft^2*** 2.Find the surface area of a square pyramid with a base length of 24 cm

3. ## math

1. A cylinder has a volume of 375 cubic centimeters. The radius of the cylinder is 12.5 centimeters. What is the approximate height of the cylinder? A. 9.6 centimeters B. 7.5 centimeters C. 2.4 centimeters** D. 0.8 centimeter 2. A cylindrical-shaped mug

4. ## Geometry

Given a soda can with a volume of 21 and a diameter of 6, what is the volume of a cone that fits perfectly inside the soda can? (Hint: only enter numerals in the answer blank). 7 because volume of a cylinder is pi r^2 h, and a cone is 1/3 pi r^2 h, which

5. ## Math

1. Find the volume of the given pyramid A.147 yd^3 B.175 yd^3 C.221 yd^3 D.441 yd^3 2. Find the volume of a square pyramid with a base of 9 cm and a height of 4 cm A.324 cm^3 B.108 cm^3 C.36 cm^3 D.152 cm^3 3. Find the volume of the given cone A.320 in^3

6. ## Math

1.) find the volume of the given pyramid. H= 7yd B= 7yd and L= 9yd A. 147yd.^3 B. 157 yd.^3 C. 221 yd.^3 D. 441 yd.^3 ******* 2. Find the volume of a square pyramid with a base length of 9 cm and a height of 4cm. A. 324cm. ^3 B. 108cm. ^3 C. 36 cm.

7. ## math

A cone has a radius of 6 inches and a height of 9 inches a) calculate the volume of the cone. use pi. as my answer for part a i got 339.92 cubic inches,,,,,,, Is my answer correct ?? I need help doing part b and c. b) calculate a possible radius and height

8. ## maths

1. A cone justs fits inside a cylinder with volume 300cm^2. what is the volume of the cone?Give reasons for your answers.

9. ## Geometry

One right circular cone is set inside a larger circular cone. The cones share the same Axis, the same vertex, and the same height. Find the volume of the space between the cones of the diameter of the inside cone is 6in., the diameter of the outside cone

10. ## algebra

What effect does doubling the radius of a cylinder have on the volume of the cylinder? A. The volume is doubled. B. The volume is quadrupled. C. The volume is halved.*** D. The volume is multiplied by one-fourth. Im not sure what the answer is so If you do

11. ## calculus

A cylinder is generated by rotating a rectangle with perimeter 12 in. about one of its sides.? Express the volume of the cylinder as a function of x. Find the approximate value of x that maximizes the volume. Then give the approximate maximum volume.

12. ## mathe

Show that a right-circular cylinder of greatest volume that can be inscribed in a right-circular cone that has a volume that is 4/9 the volume of the cone.

13. ## algebra

A cylinder has a radius of 4x + 2 and a height of 5x + 4. Which polynomial in standard form best describes the total volume of the cylinder? Use the formula v = pi r^2 h for the volume of a cylinder.

14. ## Chemistry114

The air in a cylinder with a piston has a volume 220 ml and pressure of 650 mm hg. If the pressure inside the cylinder increase to 1.2 atm. what is the final volume of the cylinder? Complete the following data table.

15. ## Geometry

"A cone has the radius of 24 and its volume is 1,920 what is the volume of a similar cone with the radius of 18 Answers A.480 B.810 C.1,080 D.1,440" How do I find the height for the similar cone to get its volume?

16. ## 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 =

17. ## Calculus

Given a right circular cone, you put an upside-down cone inside it so that its vertex is at the center of the base of the larger cone, and its base is parallel to the base of the larger cone. If you choose the upside-down cone to have the largest possible

18. ## Geometry

A cylinder has a volume of 200in^3 Determine the volume of a cone whose radius and height are equal to that of the cylinder.

19. ## geometry

11. Infinitely many different sectors can be cut from a circular piece of paper with a 12-cm radius, and any such sector can be fashioned into a paper cone with a 12-cm slant height. (a) Show that the volume of the cone produced by the 180-degree sector is

20. ## Math

The volume of a right circular cone is 300 cubic inches. What is the volume, in cubic inches, of a right cylinder that has the same base and height as the cone?

21. ## math

The diameter and the slant height of a cone are both 24 cm. Find the radius of the largest sphere that can be placed inside the cone. (The sphere is therefore tangent to the base of the cone.) The sphere occupies a certain percentage of the cone’s

22. ## calculus

Find the maximum volume of right circular cylinder that can be inscribed in a cone of altitude 12 cm and base radius 4 cm, if the axes of the cylinder and con coincide.

23. ## ALGEBRA

THE VOLUME OF A CONE IS 20 PI CUBIC METERS. WHAT IS THE VOLUME OF A CYLINDER HAVING THE SAME BASE AND SAME HEIGHT?

24. ## Math

a cone and a hemisphere share the base that is a semicirclee with radius 3 and the cone is inscribed inside the hemisphere. find the volume of the region inside the hemisphere

25. ## mathematics

300. The diameter and the slant height of a cone are both 24 cm. Find the radius of the largest sphere that can be placed inside the cone. (The sphere is therefore tangent to the base of the cone.) The sphere occupies a certain percentage of the cone’s

26. ## geometry

A cylinder has a height of 16 cm and a radius of 5 cm. A cone has a height of 12 cm and a radius of 4 cm. If the cone is placed inside the cylinder as shown, what is the volume of the air space surrounding the cone inside the cylinder? (Use 3.14 as an

27. ## Math

The volume of a cylinder is 24pi cubic feet. What is the volume of a cone having same base and same height?

28. ## Chemistry

A party-supply store sells a helium-gas cylinder with a volume of 1.55 × 10^-2 m^3. If the cylinder provides 1.81 m^3 of helium for balloon inflation (at STP), what must be the pressure inside the cylinder? Now I don't understand this at all. My book does

29. ## geometry

The volume of a cone is 54 pi cubic inches. The radius and height of the cone are both reduced by a factor of 3 to create a new cone. What is the volume of the new cone? Is the volume of the new cone 18pi cu in A. 2 pi cu inches B. 6 pi cu inches C. 9 pi

30. ## Math

1.Which solid has one base that is a triangle and three lateral surfaces that are triangles? A:Triangular Pyramid*** B:Triangular Prism C:Rectangular Prism D:Rectangular Pyramid 2.A solid with two parallel and congruent bases cannot be which of the

31. ## Geometry

A cone has diameter 12 and height 9. A cylinder is placed inside the cone so the base of the cylinder is concentric with the base of the cone and the upper base of the cylinder is contained in the surface of the cone. If the volume of the cone is nine

32. ## Math

Given that a cylinder has a volume of 1200cm^3, what is the volume of a cone that has the same height and same radius as the cylinder? explain your reasoning

33. ## Algebra

The volume of a cone is 54 pi cubic inches. The radius and height of the cone are both reduced by a factor of 3 to create a new cone. What is the volume of the new cone? Is the volume of the new cone 18pi cu in A. 2 pi cu inches B. 6 pi cu inches C. 9 pi

34. ## Help me with this math ms sue.

1. Find the lateral area of a cone with a radius of 7 ft. and a slant height of 13 ft. Use 3.14 for π and round to the nearest tenth. (1 point) 439.6 ft2 324.5 ft2 571.5 ft2 285.7 ft2 2. Find the surface area of a square pyramid with a base length of 24

35. ## Physics

An infinitely long, solid insulating cylinder with radius a has positive charge uniformly distributed throughout it with a constant charge per unit volume p. a) using Gauss's law, derive the expression for the electric field inside the cylinder ra c)

36. ## Physics

A water reservoir in the form of a cone mounted on a hemispere is built such that the plane face of the hemisphere is built fits exactly to the base of the cone and the height of the cone is 6 times the radius of its base. (a) Illustrate this information

37. ## Calculus

A circular cylinder is to fit inside a sphere of radius 10cm.Calculate the maximum posiible volume of the cylinder.

38. ## math

A small cone of height 8 cm is cut off from a bigger cone to leave a frustum of height 16 cm. If the volume of the smaller cone is 160 cubic centimeter find the volume of the frustum

39. ## math

A cone just fits inside a cylinder with volume 300cm^3. What is the volume of the cone?

40. ## Maths

“A solid consists of a right circular cylinder surmounted by a cone of the same diameter. If the height of the cone is 'h' and the volume of the solid is 3 times the volume of the cone , then find the height of the cylinder.”

41. ## Calculus

A cylinder is inscribed in a right circular cone of height 6.5 and radius (at the base) equal to 6. What are the dimensions of such a cylinder which has maximum volume?

42. ## geometry

Two cones are similar. The larger cone, R, has a volume of 1331 cubic feet and the smaller cone, S, has a volume of 64 cubic feet. Find the scale factor of Cone R to Cone S.

43. ## Math

If the radius of a right circular cylinder is tripled and its altitude is cut in half, then the ratio of the volume of the original cylinder to the volume of the altered cylinder is?

44. ## Algebra

The volume of a right circular cylinder (think of a pop can) is jointly proportional to the square of the radius of the circular base and to the height. For example, when the height is 10.62 cm and the radius is 3 cm, then the volume is 300 cm3. Find the

45. ## math

A cone just fits inside a cylinder with volume 300cm^3. What is the volume of the cone?

46. ## Calculus

Show that a right-circular cylinder of greatest volume that can be inscribed in a right-circular cone that has a volume that is 4/9 the volume of the cone. Please, help out, this is for a study guide for a quiz. :) Thank you.

47. ## Maths

A cylinder has volume 12cm^3. What will be the volume of a cone with the same base area and perpendicular height?

48. ## mathematics

Show that the volume of the largest right circular cylinder that can be inscribed in a given right circular cone is 4/9 the volume of the cone

49. ## Math

the formula for the volume of a cone is v=1/3pir^2h. The volume cone x is 2 times the volume of cone Y. Why the height of cone X is 2 times the heigh of the cone Y, and the radius of cone X is the same as the radius of cone Y.

50. ## Geometry Help & Proofs

The ratio of the volume of Cylinder A to the volume of Cylinder B is 1:5. Cylinder A is similar to Cylinder C with a scale factor of 1:2 and Cylinder B is similar to Cylinder D with a scale factor of 1:3. What is the ratio of the volume of Cylinder C to

51. ## geometry

A cylinder has a height of 16 cm and a radius of 5 cm. A cone has a height of 12 cm and a radius of 4 cm. If the cone is placed inside the cylinder as shown, what is the volume of the air space surrounding the cone inside the cylinder? (Use 3.14 as an

52. ## MATH

There is a cylinder, cone, and sphere with the same radius. The cone and cylinder have the same height with h=r. If the volume of the cone is 36 units cubed, what is the volume of the sphere? If anyone even has a guess, can you please help me?

53. ## geometry math

There is an upside-down cone that is 12m high and has a circular base with a radius of 4m that is being filled with liquid. Make V, the volume, a function of the height of the liquid, h. What is the volume of the cone when the water is 5m deep? V =

54. ## Pre-Algebra

Given a cylinder and a cone with the same base and the same height Cylinder: r=4 ft and h=3 ft Cone: r=4 ft and h=3 ft What is the volume of the cone in cubic feet? A. 12 π B. 16 π C. 36 π D. 48 π

55. ## Maths

A right circular cone is circumscribed about a sphere of radius a .If h is the distance from the centre of the sphere to the vertex of the cone. Show that the volume of the cone is 1/3pi a^2(a+h)^2/(h-a). Find the angle of a cone when the volume is minimum

56. ## Math: Calculus

A cylinder is inscribed in a right circular cone of height 3.5 and radius (at the base) equal to 7. What are the dimensions of such a cylinder which has maximum volume?

A cylinder is inscribed in a right circular cone of height 8 and radius (at the base) equal to 8. What are the dimensions of such a cylinder which has maximum volume?

58. ## Math

The volume of a cone that fits exactly inside a cylinder is 20 cubic feet. What is the volume of the cylinder? (5 points) Select one: a. 4 cubic feet b. 5 cubic feet c. 40 cubic feet d. 60 cubic feet IDK WHAT TO DO!!!

59. ## mat 116/algebra

A cylinder has a radius of 5 in. If the volume of the cylinder is 250ƒà in.3, what is the height of the cylinder? [Hint: The volume of a cylinder is given by V = ƒàr2h.] I think I wrote it wrong the first time. The volume of a cylinder is pi r^2 h.

60. ## Math

A cylinder is inscribed in a cone as shown in the diagram below. The cone has a height of 8cm and a fixed radius of R cm. The cylinder has a radius of x cm and a height of h cm. Show that the volume of the cylinder is maximised when x=kR, where k is a

61. ## Calculus

A cone is inscribed in a sphere of radius a, centred at the origin. The height of the cone is x and the radius of the base of the cone is r, as shown in the diagram opposite. Find the height, x, for which the volume of the cone is a maximum. (HINT: show

62. ## Math

A cone has a volume of 41 cubic meters. If cut the cone in half, what would be the volume of the cone?

63. ## Factoring Polynomials

Ok, this is pretty long, so bear with me. The problem says: The diagram (not shown here, sorry) shows a cube of metal with a cylinder cut out of it. The formula for the volume of a cylinder is V=pi*r^2*h, where r is the radius and h is the height. The

64. ## Math

An inverted right cone, half filled with water. I've only the volume of the entire cone to go from. So the volume of the cone = 1/3 the base area * height I've been told by a friend that the base area of a half scale cone = 1/4 of the larger cones base

65. ## Geometry

Can someone please check these for me. I have to leave answers in Pi. Find the Volume of a right cone with radius 6 height 10 V=1/3 pi r squared*h =1/3pi (6)^2(10) =1/3(360)pi =120pi Find the volume of a sphere with radius 3cm V=4/3 pi r^3 =4/3 pi3^3

66. ## Math for Ms. Sue please!

1. Name the solid with the description as a figure that has one base that is a rectangle and four lateral surfaces that are triangles. (1 point) triangular pyramid cone rectangular prism rectangular pyramid 2. A solid with two parallel and congruent bases

67. ## math

a cylinder is 150ft3ed what is the volume of a cone with the same radius and height?

68. ## Math

When a concrete structure is built, an engineer often performs a slump test on the concrete to ensure that it is of suitable strength and consistency. The engineer fills a truncated cone with a bottom diameter 200mm, top diameter 100mm and height 300mm

69. ## Geometry

A cone has diameter 12 and height 9. A cylinder is placed inside the cone so the base of the cylinder is concentric with the base of the cone and the upper base of the cylinder is contained in the surface of the cone. If the volume of the cone is nine

70. ## Calculus

Find the radius, volume, and hieght of the right- circlar cylindar that can be inscribed in a right- circular cone with a radius of 6 inches and a hieght of 10 inches. There are an infinite number of solutions to this. Did you mean the right cylinder with

71. ## calculus

Given a right circular cone, you put an upside-down cone inside it so that its vertex is at the center of the base of the larger cone, and its base is parallel to the base of the larger cone. If you choose the upside-down cone to have the largest possible

72. ## Math

All right Cone has the volume of 333 yd.³ if a right cylinder had the same height and base what would be the volume off the cylinder?

73. ## Geometry

Infinitely many different sectors can be cut from a circular piece of paper with a 12-cm radius, and any such sector can be fashioned into a paper cone with a 12-cm slant height. (a) Show that the volume of the cone produced by the 180-degree sector is

74. ## Calculus

Hello. I'm having problems with a couple of Calculus questions that involve maximums of geometric shapes. The first one is: 1. Find the dimensions and minimum volume of a right circular cone which can be circumscribed about a sphere of diameter 8. What I

75. ## measurements

A cone and a cylinder have the same volume and the same base radius. If you are given only the height of the cylinder, is it possible to figure out the height of the cone? If so, how would you figure it out? Am thinking yes, because if they are the same in

76. ## Mathematics

A right circular cone of base radius r cm and height h cm fits exactly into a sphere of internal radius 12cm. a)Express r in terms of h. b)If the volume of the cone is Vcm cube, show that V=8¶h^2 - 1/3¶h^3 c)Find the value of r for which V has a turning

77. ## biology

3. A cylinder and an airtight piston are used in the following experiment. The piston is pushed up and down in the cylinder and the resulting pressure of the air inside the cylinder is measured with a pressure gauge. The results of the experiment are

78. ## math

The volume of a cylinder (think about the volume of a can) is given by V = £kr2h where r is the radius of the cylinder and h is the height of the cylinder. Suppose the volume of the can is 100 cubic centimeters. a)

79. ## math

A right circular cone is inscribed inside a sphere. The right circular cone has the radius of the base of 4 inches and the height is greater than 2 inches. The sphere has a radius of 5 inches. What is the ratio of the volume of the cone to the volume of

80. ## Mat 116/algebra

A cylinder has a radius of 5 in. If the volume of the cylinder is 250 ¦Ðr¡¼in¡½^3, what is the height of the cylinder? Volume cylinder is AreaBase*height where area of the base is PI*r^2 Volume=PI*r^2 * h solve for h.

81. ## physics.pls help

The volume of a cylinder is defined by the formula V=pie R squared h. If initially have a cylinder with a volume of 10m cubed. Find the volume of the cylinder if the height doubles and if the height is cut in half. pls i really need help.

82. ## Calculus

Find a such that the volume inside the hemisphere and inside the cylinder one half the volume of the hemisphere

83. ## geometry

a cone is designed to fit perfectly into a cylinderical container given the volume of the cone is 100 cm3 and the curved surface area of the cylinder is 150 cm2, what is the height of the container?

84. ## maths

The volume of a right circular cone is 5 litres.calculate the volume of the two parts into which the cone is divided by a plane parallel to the

I need the the volume of this cylinder as if it were a cone. Radius = 10cm Height = 20 cm

86. ## Math

A solid cone that fits inside a cylinder witha height of 12 inches and a radius of 4 inches leaves some space for air. What is the volume of the air inside?

87. ## Calculus: Optimization

I have no idea how to approach this problem, if someone knows just how to relate h, r with H,R, that would be extremely helpful and I can workout the rest! Thank you in advance. Given a right circular cone, you put an upside-down cone inside it so that its

The volume of a fixed mass of a gas in a cylinder at constant temperature is 300cm,when the pressure is 900mmHg.calculate the new volume when the pressure is 600mmHg.

89. ## math

A paperweight containing liquid is made up of a cone and a cylinder. The radius of the cone is 3cm with height of 4cm. The diameter is 20cm and height is 8cm. 1. Calculate the total volume of the cone and cylinder when it si empty, leaving your answer in

90. ## 7th g-math

An ice-cream shop offers a small size cone and a large size cone. The height of the large cone is 2 times the height of the small cone. The radius of the large cone is 2 times the radius of the small cone. Which statement is true about the volumes of the

91. ## math

the volume of a cylinder is 54cm cube.calculate the volume of the cone.

92. ## Math

If anyone could help (as I'm kinda stuck) it would be really appreciated! This is the measurement thingy, lesson 13 unit 2 1.) Which solid has two bases that are triangles and three lateral surfaces that are rectangles? Trianglular pyramid Rectangular

93. ## Math - Optomization

A cylinder is inscribed in a right circular cone of height 6.5 and radius (at the base) equal to 5.5. What are the dimensions of such a cylinder which has maximum volume?

94. ## Calculus

A cylinder is inscribed in a right circular cone of height 5.5 and radius (at the base) equal to 7. What are the dimensions of such a cylinder which has maximum volume?

95. ## math

The volume of a cone is given by the formula V = (1/3)r2h. A cone has a volume of 11,907 cm3 and a radius of 21 cm. what would be the height of the cone.

96. ## Algebra

Which solid has one base that is a rectangle and four lateral surfaces that are triangles? A. triangular pyramid *** B. cone C. rectangular prism D. rectangular pyramid A solid with two parallel and congruent bases cannot be which of the following? A. cone

97. ## Calculus 2

I am having so many problems with these volume problems, 1. Find the volume of a the solid obtained by rotating the region enclosed by: x = 2y and y^3 = x with y>0 about the x axis 2.Find the volume of cone of height h = 250 and a circular base with radius

98. ## Chemistry

A small cylinder of compressed gas has a volume of 396.6 ml and contains 47.9 g of CO2 at 25°C. What is the pressure (atm) inside the cylinder?

99. ## Math

Show the steps to determining the volume of questions 1-3 1. A cylinder with a radius of 6.2cm and height of 12.4cm what is the volume. 2. A cone with a radius of 6.2cm and a height of 12.4cm what is the volume. 3. A sphere with a radius of 6.2cm what is

100. ## Math

A small cone has a vertex touching the base of a large cone. The base of the small cone is parallel to the base of the larger cone. a.) Find h and r so that the smaller cone has a maximum volume. b.) State the maximum volume c.) explain how you know