If the radius of a cylinder doubled, keeping its lateral surface area the same then its height is……………….
If the radius of a cylinder doubled, keeping its lateral surface area the same then its height is……………….
A) Increased by 50%
B) Increased by 100%
C) Decreased by 50%
D) Decreased by 100%
4 views
3 Answers
Correct option is (C) Decreased by 50%
Let r and h be parameters of original cylinder & R and H be parameters of another cylinder.
Let R = 2r
Also \(2\pi RH=2\pi rh\) (Given)
\(\Rightarrow\) \(H=\frac{2\pi rh}{2\pi R}=\frac{rh}{2r}=\frac h2\) \((\because\) R = 2r)
\(\therefore\) Height is decreased by 50%.
4 views
Answered