You are designing a container in the shape of a cylinder. The radius is 6 inches. You want the container to hold at least 324π324π cubic inches. What is the least possible height of the container?

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01-09-2017
Mathematics

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You are designing a container in the shape of a cylinder. The radius is 6 inches. You want the container to hold at least 324π324π cubic inches. What is the least possible height of the container?

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Erythrosin17 Erythrosin17 · Answer 1 · 2017-09-13T12:26:55+02:00

Erythrosin17 Erythrosin17

13-09-2017

The least possible height is the height of the cylinder when the volume is 324π cubic inches. To determine that height, we use the formula for the volume of a cylinder. We do as follows:

Volume = πr^2h
324π = π(6)^2(h)
h = 9 inches

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