Question

A cylinder has a diameter 20cm. The area of the curved surface is 1100cm². Find the height and volume of the cylinder.

Answer 1

Diameter of cylinder = 20cm
∴ Radius (r)

= `(20)/(2)`
= 10cm
Let h be the height of the cylinder
Area of curved surface = 1100cm²
i.e., L.S.A of cylinder = 1100cm²
2 x π x r x h = 1100       ...[∵ L.S.A of cylinder = 2 x π  x r x h]

`2 xx (22)/(7) xx 10 xx "h"` = 1100

`(400)/(7)"h"` = 1100

h = `(1100 xx 7)/(440)`

h = `(70)/(4)`
= 17.5cm
Thus,
Volume of cylinder
= π  x r² x h

= `(22)/(7) xx 10^2 xx 17.5`
= 5500cm³.