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

1.	In a cylinder, if radius is halved and height is doubled, then volume will be A) DoubledB) HalvedC) Four timesD) Same
Answer» 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. Correct option is B) Halved

In a cylinder, if radius is halved and height is doubled, then volume will be A) DoubledB) HalvedC) Four timesD) Same

Answer»

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.

Correct option is B) Halved