Question

A sphere and a cylinder have the same radius and height. The volume of the cylinder is . Amie found the volume of the sphere.

Answer 1

The correct answer is Option 2

1/3 πt²k

Explanation:

points to remember

Volume of cone = 1/3 πr²h

Where r - Radius of cone and

h - Height of cone

To find the volume of given cone

Here radius of cone r = t and

Height of cone h = k

Therefore we can write,

volume of cone = 1/3 πr²h = 1/3 πt²k

Therefore the correct answer is option 2

Answer 2

`V_(cone)=(1)/(3) \pi t^2k`

EXPLANATION

The volume of a cylinder is given by

`V_(cylinder)=\pi r^2h`

The radius of the given cylinder is r=t.

The height of the cylinder is h=k.

The volume of the given cylinder is

`V_(cylinder)=\pi t^2k`

The volume of a cone with the same base radius and height is

`V_(cone)= (1)/(3) \pi t^2k`