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.(1 point) Responses 16,747 in.3 16,747 inches cubed 19,363 in.3 19,363 inches cubed 9,682 in.3 9,682 inches cubed 7,065 in.3

Answer 1

The volume of the larger hemisphere with a radius of 20 inches is given by V1 = (2/3) * pi * (20)^3 = (2/3) * 3.14 * 8000 = 16,747 in.3

The volume of the smaller hemisphere with a radius of 15 inches is given by V2 = (2/3) * pi * (15)^3 = (2/3) * 3.14 * 3375 = 7065 in.3

Therefore, the volume of the sculpture is V1 - V2 = 16,747 - 7,065 = 9,682 in.3

So, the correct answer is 9,682 inches cubed.