Aplane, 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

D).  659.73 in^3.

Step-by-step 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.

the answer is 489

step-by-step explanation: