Question

A sculpture is shaped like a sphere with 4 cones attached to it. Several dimensions of the sculpture, in feet, are shown in the diagram below. The total height of the sculpture from top to bottom is 12 feet. What is the volume of the sculpture, to the nearest cubic foot?

Answer 1

volume of the center sphere = 4/3*PI*r^3

r = 3 ( given in the picture)

so 4/3 * 3.14 *3^3 = 113.04 cubic feet

volume of 1 cone: pi *r^2 *h/3

r = 3 and h=3 ( given in the picture)

so 3.14 * 3^2 * 3/3 = 28.26 cubic feet

there are 4 cones so 28.26* 4 = 113.04 cubic feet

113.04 + 113.04 = 226.08 cubic feet

rounded to nearest cubic foot = 226 cubic feet