Question

A plane, parallel to the base of a cone slices through the cone at the midpoint between points A and B. Determine the volume of the blue portion of the cone.

A) 68.91 in^3
B) 94.25 in^3
C) 164.93 in^3
D) 659.73 in^3

Answer 1

D). 659.73 in^3.

Explanation:

hope this helped

Answer 2

D). 659.73 in^3.

Explanation:

The volume of a cone = 1/3 π r^2 h

The volume of the large cone = 1/3 π 6^2 * 20 in^3.

The plane passes through the midpoint of the cone so the height of the small cone = 10 in

and the radius of this cone is 1/2 * 6 = 3 in.

The volume of the small cone = 1/3 π 3^2 * 10 in^3.

So the volume of the blue section

= 1/3 π 6^2 * 20 - 1/3 π 3^2 * 10

= 659.73 in^3.