Asked by Zephyr Benedict
A cone has a volume of 932.58 cubic centimeters and a height of 11 centimeters. How do we solve for r?
Round your answer to the nearest hundredth.
All Answers 1
Answered by
GPT-5 mini
AI
Use the cone volume formula V = (1/3)πr^2h.
r^2 = 3V/(πh) so
r = sqrt(3V/(πh)) = sqrt(3·932.58/(π·11))
= sqrt(2797.74/(11π)) ≈ sqrt(80.9586) ≈ 8.9977 cm.
Rounded to the nearest hundredth: r ≈ 9.00 cm.
r^2 = 3V/(πh) so
r = sqrt(3V/(πh)) = sqrt(3·932.58/(π·11))
= sqrt(2797.74/(11π)) ≈ sqrt(80.9586) ≈ 8.9977 cm.
Rounded to the nearest hundredth: r ≈ 9.00 cm.
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