A cylinder and a cone are shown below. A cylinder with height 12 inches and volume 2,512 inches cubed. A cone with height 12 inches and volume 1,256 inches cubed. Which explains whether the bases of the cylinder and the cone have the same area? The bases have the same area because the heights are the same. The bases have the same area because the volume of the cone is One-half the volume of the cylinder. The bases do not have the same area because the volumes are not the same. The bases do not have the same area because the volume of the cylinder is not 3 times the volume of the cone, given the same heights.

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Today at 3:47 AM
Mathematics

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A cylinder and a cone are shown below. A cylinder with height 12 inches and volume 2,512 inches cubed. A cone with height 12 inches and volume 1,256 inches cubed. Which explains whether the bases of the cylinder and the cone have the same area? The bases have the same area because the heights are the same. The bases have the same area because the volume of the cone is One-half the volume of the cylinder. The bases do not have the same area because the volumes are not the same. The bases do not have the same area because the volume of the cylinder is not 3 times the volume of the cone, given the same heights.

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popuary popuary · Answer 1 · 2025-03-29T03:52:07-04:00

popuary popuary

Today at 3:52 AM

Answer:

It should be d, The bases do not have the same area because the volumes are not the same.

Step-by-step explanation:

did it on the unit review test

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vipinkumar69547 vipinkumar69547 · Answer 2 · 2025-03-29T03:52:10-04:00

The bases do not have the same area because the volume of the cylinder is not 3 times the volume of the cone, given the same heights.

How to find the volume of a cone?

The volume of a cone is given by the formula:

A = πr²h/3

How to find the volume of a cylinder?

The volume of a cylinder is given by the formula:

A = πr²h

It is given that the height of both the cylinder and the cone is the same.

This means that the only way variable that influences the volume is the radius of the base.

The volume of the cylinder is three times the volume of the cone when the radius and height are equal.

But the volume of the cylinder is two times the volume of the cone in the given question.

This means that they have different radii which means that the bases are different.

Therefore, we have found that the bases do not have the same area because the volume of the cylinder is not 3 times the volume of the cone, given the same heights. The correct answer is option D.

Learn more about cylinders and cones here: https://brainly.com/question/331787

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