Question

Four times the area of the curved surface of a cylinder is equal to 6 times the sum of the areas of its bases. If its height is 12 cm, find its curved surface area.
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Answer 1

Curved surface Area=2πrh sq.cm

Area of the base=πr² sq.cm.

Sum area of the base=πr²+πr²=2πr² sq.cm

According to Question,

4(2πrh)=6×2πr²

8πrh=12πr²

2h=3r

2×12=3r

r=8 cm

Curved Surface Area=2πrh

=2×22/7×8×12

=4224/7

=603.42 sq.cm