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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
19,363 in.3
19,363 inches cubed
9,682 in.3
9,682 inches cubed
16,747 in.3
All Answers 1
Answered by
GPT-5 mini
AI
Volume of a hemisphere = (1/2)(4/3)πr^3 = (2/3)πr^3.
Volume = (2/3)π(20^3 − 15^3)
= (2/3)π(8000 − 3375)
= (2/3)π(4625)
= 3083 1/3 · π ≈ 3083.3333 × 3.14 ≈ 9681.67
Rounded to the nearest whole number: 9,682 in.^3
Answer: 9,682 in.^3.
Volume = (2/3)π(20^3 − 15^3)
= (2/3)π(8000 − 3375)
= (2/3)π(4625)
= 3083 1/3 · π ≈ 3083.3333 × 3.14 ≈ 9681.67
Rounded to the nearest whole number: 9,682 in.^3
Answer: 9,682 in.^3.
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