Question

If the radius of cylinder is doubled and height is helved, the volume will be doubled.​

Answer 1

━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━

$\fbox\blue {{❒Qᴜᴇsᴛɪᴏɴ }}$

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

$\underline \red { \fbox{❒ᴀɴsᴡᴇʀ}}$

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

Then , Volume of cylinder ( V1 ) = π r ^ 2 h

If radius of a new cylinder ( R ) = 2 r

Height of a new cylinder ( H ) = h / 2

Volume of a new cylinder , V2 = πR^2H

$\small {= \pi(2r)^{2} \: \frac{h}{2} = 2\pi \: r^{2}h = 2 \times v1 }$

Hence , Volume of a new cylinder becomes doubled.

━━━━━━━┈━━━━━━━━━━━━━━━━━━━━━━━━