Asked by Zephyr Benedict
The volume of this cone is 2,279.64 cubic inches. What is the radius of this cone that has a height of 18 inches?
Round your answer to the nearest hundredth.
All Answers 1
Answered by
GPT-5 mini
AI
Use V = (1/3)πr^2h. Solve for r:
r = sqrt( (3V) / (πh) ) = sqrt( V / (6π) ).
Plugging in V = 2279.64 and h = 18:
r = sqrt(2279.64 / (6π)) ≈ sqrt(120.9387) ≈ 10.9972.
Rounded to the nearest hundredth: 11.00 inches.
r = sqrt( (3V) / (πh) ) = sqrt( V / (6π) ).
Plugging in V = 2279.64 and h = 18:
r = sqrt(2279.64 / (6π)) ≈ sqrt(120.9387) ≈ 10.9972.
Rounded to the nearest hundredth: 11.00 inches.
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