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

7,065 in.3

7,065 inches cubed

16,747 in.3

16,747 inches cubed

9,682 in.3

9,682 inches cubed

19,363 in.3

Answer 1

Volume = (2/3)π(20^3 − 15^3).

20^3 = 8000, 15^3 = 3375, difference = 4625.
Volume = (2/3)·3.14·4625 ≈ 3083.333·3.14 ≈ 9681.66 ≈ 9682 in.^3.

Answer: 9,682 in.^3.