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In a right circular cylinder, if the le...

In a right circular cylinder, if the length of radius is halved and height is doubled, then the volume of cylinder will be

A

equal

B

double

C

half

D

4 times

Text Solution

Verified by Experts

The correct Answer is:
C
Let the radius of the cylinder be r units and height of it be h units.
Then the volume of the cylinder `= pi r^(2) h` cubic-units when the radius is halved, i.e., `r/2` units and the height is doubled, i.e., 2h units, then the volume becomes `pi ( r/2)^(2)xx2h` cubic-units `=pixx(r^(2))/(4)xx2h` cubic-units `=(pi r^(2)h)/(2)` cubic-units
So, the volume will be half.
`:.` (c) is correct.
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