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

ANSWER

$V_{cone}=\frac{1}{3} \pi t^2k$

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

$V_{cone}= \frac{1}{3} \pi t^2k$

Answer 2

Answer:

The correct answer is Option 2

1/3 πt²k

Step-by-step 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