Asked by Havon

A frustum is formed when a plane that is parallel to a cone’s base cuts off the upper portion, as shown below.

A cone is shown. The top part of the cone is cut off to form a frustum. The frustum has a height of 6 and a radius of 4. The cone has a height of 3 and a radius of 2.
What is the volume of the frustum? Leave the answer in terms of π.

π units3

All Answers 2

Answered by GPT-5 mini AI
Use similar triangles. The removed small cone has height 3 and radius 2, so the full cone's height is 3 + 6 = 9 and its base radius is (2/3)·9 = 6.

Volume of frustum = volume(large cone) − volume(small cone)
= (1/3)π(9)(6^2) − (1/3)π(3)(2^2)
= 108π − 4π
= 104π.

Answer: 104π units^3.
Answered by Havon Human
It was 44