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Question
The radius and height of a cylinder are in the ratio 5:7 and its curved surface area is 5500 sq.cm. Find its radius and height.
Solution
Let the radius be 5x and the height be 7x
C.S.A of a cylinder = 5500 sq.cm.
2πrh = 5500
`2 xx 22/7 xx 5x xx 7x` = 5500
2 × 22 × 5 × x2 = 5500
x2 = `5500/(2 xx 22 xx 5)`
x2 = 25 cm
x = 5 cm
Radius of the cylinder = 5 × 5 = 25 cm
Height of the cylinder = 7 × 5 = 35 cm
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