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Question

The height h of a cylinder is equal to the edge of a cube. If the cylinder and the cube have the same volume, what is the radius of the cylinder?

A
hπ
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B
hπ
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C
πh
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D
h2π
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Solution

The correct option is B hπ
Let height of the cylinder be h and edge of cube be l
h = l [Given]....(i)
Volume of cylinder = Volume of cube [Given]
πr2h=side3
πr2h=l3
πr2h=h3 ...... [From (i)]
r2=h2π
r=hπ

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