Question

If the radius of cylinder is doubled and height is halfed then show that volume will be doubled

Answer 1

1) Dimensions of the cylinder

radius = r

Height = h

i ) curved surface area

(CSA) = 2πrh----( 1 )

ii ) volume (v) = πr² h ---( 2 )

2 ) if radius doubled and radius

halved then new cylinder

dimensions are

Radius ( R ) = 2r

Height ( H ) = h /2

New CSA = 2 × π × ( 2r ) × h / 2

= 2πrh

Therefore ,

There is no change in csa .

Zero percent change in csa.

New volume ( V ) = π× (2r)² × ( h / 2 )

= 2πr²h

= 2 × v

Therefore ,change in volume is100%