The figure is a cone with a sphere within it.

what is the volume of the shaded part of this figure to the nearest whole number?

use 3.14 for pi.

drag the correct value to the box.
14 42 57 11 31 56
ft³

To solve the problem is subtract the volume of the sphere from the volume of the cone.
volume of sphere = (4/3) *pi *r^3volume of sphere = (4/3) (3.14) (1.5^3)volume of the spere = 14.13 cu. ft.
volume of cone = (1/3) *pi *h *r^2volume of cone = (1/3) (3.14) (6) (3^2)volume of cone = 61.2
volume of shaded part = 61.2 - 14.13
volume of shaded part = 47.07 cu ft