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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.

Mathematics
NCERT Exemplar
Standard IX

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