In a cylinder, if radius is halved and height is doubled, then volume will be
In a cylinder, if radius is halved and height is doubled, then volume will be
A) Doubled
B) Halved
C) Four times
D) Same
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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.
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