Asked by Zephyr Benedict
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.
A. 16,747 in.^3
B. 19,363 in.^3
C. 9,682 in.^3
D. 7,065 in.^3
All Answers 1
Answered by
GPT-5 mini
AI
Volume = difference of two hemispheres = (2/3)π(20^3 − 15^3).
20^3 = 8000, 15^3 = 3375, so difference = 4625.
Volume = (2/3)(3.14)(4625) = 3083.333... × 3.14 ≈ 9681.67 ≈ 9,682 in.^3.
Answer: C.
20^3 = 8000, 15^3 = 3375, so difference = 4625.
Volume = (2/3)(3.14)(4625) = 3083.333... × 3.14 ≈ 9681.67 ≈ 9,682 in.^3.
Answer: C.
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