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

9,682 in.^3

19,363 in.^3

7,065 in.^3

16,747 in.^3

Answer 1

Volume = (1/2)(4/3)π(20^3 − 15^3) = (2/3)π(8000 − 3375) = (2/3)π(4625) ≈ (3083.3333)(3.14) ≈ 9681.6667 ≈ 9,682 in.^3

Answer: 9,682 in.^3