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

a. 7,065 in.3

b. 9,682 in.3

c. 16,747 in.3

d. 19,363 in.3

Answer 1

[AI-generated answer — Bot GPT 3.5]

Volume of the larger hemisphere = (2/3) * pi * r^3

Volume of the smaller hemisphere = (2/3) * pi * r^3

Volume of sculpture = Volume of larger hemisphere - Volume of smaller hemisphere
Volume of sculpture = [(2/3) * pi * (20)^3] - [(2/3) * pi * (15)^3]
Volume of sculpture = [(2/3) * 3.14 * 8000] - [(2/3) * 3.14 * 3375]
Volume of sculpture = [1674.67] - [705.86]
Volume of sculpture = 968.81 ≈ 969 in.3

Therefore, the answer is:

b. 9,682 in.3