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