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Question
Find the area of base and radius of a cylinder if its curved surface area is 660 sqcm and height is 21 cm.
Solution
Curves surface area = 660 sq. cm
Height = 21 cm
∴ Curved surface area of cylinder = 2πrh
⇒ 660 = `2 xx 22/7 xx r xx 21`
⇒ 660 = 2 × 22 × r × 3
⇒ 660 = 132 r
⇒ r = `660/132` = 5 cm
∴ Area of base = π r2
= `22/7 xx 5 xx 5`
= 78.57 sq. cm
∴The radius of the cylinder is 5 cm and the area of its base is 78.57 sq.cm.
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