Question

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. remember use 3.14 for pi.

Answer 1

[AI-generated answer — Bot GPT 3.5]

First, calculate the volume of the larger hemisphere:

V1 = (2/3) * pi * r^3
V1 = (2/3) * 3.14 * 20^3
V1 = (2/3) * 3.14 * 8000
V1 = 16753.33 cubic inches

Next, calculate the volume of the smaller hemisphere that was removed:
V2 = (2/3) * pi * r^3
V2 = (2/3) * 3.14 * 15^3
V2 = (2/3) * 3.14 * 3375
V2 = 7065 cubic inches

Finally, calculate the volume of the sculpture by subtracting the volume of the smaller hemisphere from the volume of the larger hemisphere:
V = V1 - V2
V = 16753.33 - 7065
V = 9688.33 cubic inches

Rounded to the nearest whole number, the volume of Kairay's sculpture is 9688 cubic inches.