SOLUTION: A plane slices a right circular cone parallel to its base at the midpoint of its height. The radius of the cone is 4 in. and its height is 12 in. Find the volume of the figure BELO

Question 1192229: A plane slices a right circular cone parallel to its base at the midpoint of its height. The radius of the cone is 4 in. and its height is 12 in. Find the volume of the figure BELOW the plane. 
Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

the bottom portion of the cone is called a frustum
use the formula: volume , where is a radius of the base of a cone, and of top surface of a frustum radius.
given:
is a radius of the base , height
and if the midpoint of its height top of the frustum-> and radius must be

then,

Answer by ikleyn(52788) (Show Source): You can put this solution on YOUR website!
.
A plane slices a right circular cone parallel to its base at the midpoint of its height.
The radius of the cone is 4 in. and its height is 12 in. Find the volume of the figure BELOW the plane.
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The volume of the large cone is = = in^3. The volume of the small (cut) cone is of the volume of the large cone. So, the cut volume is in^3, and the bottom part volume is - = in^3. ANSWER

Solved.

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