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.
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}.