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
Accepted Solution
A:
Answer:D). 659.73 in^3.Step-by-step explanation:The volume of a cone = 1/3 π r^2 hThe 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 inand 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.