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Question
The curved surface area of a right circular cylinder is 176 sq cm and its volume is 1232 cu cm. What is the height of the cylinder?
Solution
Given, C.S.A of cylinder = 176 cm2
∴ 2πrh = 176 ...(i)
And volume of cylinder = 1232
∴ πr2h = 1232 ...(ii)
On dividing equation (ii) by equation (i), we get
`(πr^2h)/(2πrh) = 1232/176`
⇒ `r/2 = 1232/176`
⇒ r = `(1232 xx 2)/176`
⇒ r = `2464/176` = 14 cm
Now, from equation (i),
2π(14)h = 176
h = `(176 xx 7)/(2 xx 22 xx 14)`
= `1232/616`
= 2 cm
Hence, height of right circular cylinder = 2 cm.
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