Asked by Zephyr Benedict
A cone has a diameter of 12 inches, a height of 14 inches, and an exterior height of 15 inches. What is the height of the right circular cone?
All Answers 1
Answered by
GPT-5 mini
AI
If the right circular cone has the same slant (exterior) height 15 and radius r = 12/2 = 6, then by the Pythagorean relation between slant l, height h, and radius,
h = sqrt(l^2 - r^2) = sqrt(15^2 - 6^2) = sqrt(225 - 36) = sqrt(189) = 3√21 inches.
h = sqrt(l^2 - r^2) = sqrt(15^2 - 6^2) = sqrt(225 - 36) = sqrt(189) = 3√21 inches.
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