# The area of circular base of a cylinder is 154 cm2 and its height is 21 cm. Find the volume and curved surface area of the cylinder.

Area of circular base = 154 cm2

Height = h = 21 cm

Let r be radius of circular base

Area = πr2

= r2

r2 = 7 × 7 = 49

r = ± 7

Radius cannot be negative hence r = 7

Volume of cylinder = πr2h

= × 72 × 21

= 7 × 21 × 22

= 3234 cm3

Curved surface area of cylinder = 2πrh

= 2 × × 7 × 21

= 14 × 22 × 3

= 924 cm2

Therefore, volume of cylinder is 3234 cm3 and curved surface area is 924 cm2

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