Question

Which equation represents the volume of a cone with the same base and height as the cylinder below?

A cylinder with a height k and radius t.
Volume cone = pi t squared k
Volume cone = one-third pi t squared k
Volume cone = one-half pi t squared k
Volume cone = 3 pi t squared k

Answer 1

B

Step-by-step explanation

B

Answer 2

Volume cone = one-third pi t squared k

Explanation:

Given a cylinder with a height k and radius t, the volume of the cylinder will be πt²k.

Since a come is carved out of the cylinder with the same base and height, the volume of the cone will be a fraction of that of the cylinder since part of the cylinder will be remaining. The volume of the come will be one-third of the volume of a cylinder. This is expressed as shown:

Volume of the cone = 1/3 of πt²k

Volume of the cone = 1/3πt²k