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 3.14 as an approximation for pi. Round your answer to the nearest whole number. (1 point)
To find the volume of Kairay's sculpture, we first need to find the volume of the larger hemisphere and then subtract the volume of the smaller hemisphere.
Volume of larger hemisphere:
V1 = (2/3) * pi * r^3
V1 = (2/3) * 3.14 * 20^3
V1 = (2/3) * 3.14 * 8000
V1 = 16747.47
Volume of smaller hemisphere:
V2 = (2/3) * pi * r^3
V2 = (2/3) * 3.14 * 15^3
V2 = (2/3) * 3.14 * 3375
V2 = 7066.5
Volume of the sculpture:
Volume = V1 - V2
Volume = 16747.47 - 7066.5
Volume = 9670.97
Rounded to the nearest whole number, the volume of Kairay's sculpture is 9671 cubic inches.