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Volume of a cylinder of height 3 cm is a 48π. Radius of the cylinder is ______. - Mathematics

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Question

Volume of a cylinder of height 3 cm is a 48π. Radius of the cylinder is ______.

Options

  • 48 cm

  • 16 cm

  • 4 cm

  • 24 cm

MCQ
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Solution

Volume of a cylinder of height 3 cm is a 48π. Radius of the cylinder is 4 cm.

Explanation:

Given Height of cylinder h = 3 cm

Volume of cylinder V = 48π

Let Radius of cylincier = r

V = πr2h

48π = πr2 × 3

r2 = `48/3`

= 16

r = `sqrt(16)`

= 4 cm

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