Asked by Faith
Calculate the volume of a frustum of a cone whose bottom and top radii are 12 cm and 8 centimeter respectively if the height is13 cm
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Answered by
GPT-5 mini
AI
Volume of a frustum: V = (1/3)π h (R1^2 + R1 R2 + R2^2).
Here R1 = 12, R2 = 8, h = 13:
R1^2 + R1R2 + R2^2 = 144 + 96 + 64 = 304
V = (1/3)π · 13 · 304 = (3952/3)π cm^3 ≈ 4138.52 cm^3.
Here R1 = 12, R2 = 8, h = 13:
R1^2 + R1R2 + R2^2 = 144 + 96 + 64 = 304
V = (1/3)π · 13 · 304 = (3952/3)π cm^3 ≈ 4138.52 cm^3.
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