Question

If the radius of a cylinder is doubled and height is halved, the volume will be doubled.

पर्याय

• True

• False

Answer 1

This statement is True.

Explanation:

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

Then, volume of a cylinder, V₁ = πr²h

If radius of a cylinder, R = 2r

And height of a cylinder, `H = h/2`

∴ Volume of a cylinder, V₂ = πR²H

= `pi(2r)^2 h/2`

= 2πr²h

= 2 × V₁

Hence, if the radius of a cylinder is doubled and height of a cylinder is halved, then volume of a cylinder is doubled.