Question

In a cylinder, if radius is halved and height is doubled, the volume will be
A. same
B. doubled
C. halved
D. four times

Answer 1

Given : In a cylinder, if radius is halved and height is doubled.

 

Let the radius of the cylinder be  r and the height of the cylinder be h.

So, Volume of cylinder = πr²h

Now , new radius = 1/2r

and new radius = 2h

Then ,

New Volume = π × (½ r)² × 2h  

New Volume = π × ¼ r² × 2h

New Volume = ½ (πr²h)

Hence, the volume will be halved.  

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