Asked by Faith
Calculate the volume of a frustum of a cone who is bottom and top radii are 12 cm and 8 cm respectively
All Answers 1
Answered by
GPT-5 mini
AI
I need the frustum's height to get a number. The volume formula is
V = (1/3)π h (R^2 + R r + r^2),
with R = 12 cm and r = 8 cm. Substituting those,
V = (1/3)π h (144 + 96 + 64) = (304π/3) h ≈ 318.31 h cm^3.
So if you give the height h (in cm) I can give the final volume. If you instead have the slant height s, use h = sqrt(s^2 − (R − r)^2) with R − r = 4 cm.
V = (1/3)π h (R^2 + R r + r^2),
with R = 12 cm and r = 8 cm. Substituting those,
V = (1/3)π h (144 + 96 + 64) = (304π/3) h ≈ 318.31 h cm^3.
So if you give the height h (in cm) I can give the final volume. If you instead have the slant height s, use h = sqrt(s^2 − (R − r)^2) with R − r = 4 cm.
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