Question

# Question 10 If the radius of a cylinder is doubled and height is halved then the volume will be doubled.

Solution

## True. Let the radius of the cylinder be r and height be h. Then, volume of the cylinder, V1=πr2h New radius, R = 2r New height of the cylinder, H=h2 ∴ Volume of a cylinder, V2=πR2H=π(2r)2h2=2V1 Hence, if the radius of a cylinder is doubled and height of a cylinder is halved. The volume of the cylinder is doubled.MathematicsNCERT ExemplarStandard IX

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