A cylinder with a radius of 1 cm and a height of 21 cm has the same volume as a cone with a height of 7 cm. What is the radius of the cone?

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asked Jan 27, 2019 159k views

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Ingofreyer · Answer 1 · 2019-02-03T09:03:08+0000

Cylinder Volume = PI * radius^2 * height
Cylinder Volume = 3.14159 * 1 * 21
Cylinder Volume = 65.97 cc

Volume Cone = [PI * radius^2 * height] / 3
radius^2 = 3 * 65.97 / (3.14159 * 7)
radius^2 = 9
radius = 3 centimeters

A cylinder with a radius of 1 cm and a height of 21 cm has the same volume as a cone with a height of 7 cm. What is the radius of the cone?

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