Question

In a cylinder, if radius is halved and height is doubled, then volume will be 

A) Doubled

B) Halved

C) Four times

D) Same

Answer 1

Correct option is (B) Halved

\(R=\frac r2\) and H = 2h

Then volume \(V=\pi R^2H\)

\(=\pi(\frac r2)^2\times2h\) \(=\frac{2\pi r^2h}4=\frac{\pi r^2h}2\)

Thus, volume will be halved.

Answer 2

Correct option is  B) Halved