Kairay created a sculpture by forming a hemisphere with a radius of 20 inches and then removing a hemisphere with a radius of 15 inches from it. Calculate the volume of his sculpture. Use 3.14b as an approximation for pi. Round your answer to the nearest whole number.

Answer 1

The volume of the hemisphere with a radius of 20 inches is given by the formula: V1 = (2/3) * pi * r1^3
Substituting the given values, we get:
V1 = (2/3) * 3.14 * 20^3
V1 = 33546
The volume of the hemisphere with a radius of 15 inches is given by the formula: V2 = (2/3) * pi * r2^3
Substituting the given values, we get:
V2 = (2/3) * 3.14 * 15^3
V2 = 14130
To find the volume of the sculpture, we need to subtract the volume of the smaller hemisphere from the volume of the larger hemisphere:
V_sculpture = V1 - V2
V_sculpture = 33546 - 14130
V_sculpture = <<33546-14130=19416>>19416
Rounding to the nearest whole number, the volume of Kairay's sculpture is 19,416 cubic inches. Answer: \boxed{19416}.