A sculpture is shaped like a sphere with 4 cones attached to it. Several dimensions of the sculpture, in feet, are shown in the

Question

3 years ago

5

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?

1 answer:

suter [353] · Answer 1 · 2022-03-25T10:41:27+03:00

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