Q. 34.2( 5 Votes )

# The area of circular base of a cylinder is 154 cm^{2} and its height is 21 cm. Find the volume and curved surface area of the cylinder.

Answer :

Area of circular base = 154 cm^{2}

Height = h = 21 cm

Let r be radius of circular base

Area = πr^{2}

⇒

⇒ = r^{2}

⇒ r^{2} = 7 × 7 = 49

⇒ r = ± 7

Radius cannot be negative hence r = 7

Volume of cylinder = πr^{2}h

= × 7^{2} × 21

= 7 × 21 × 22

= 3234 cm^{3}

Curved surface area of cylinder = 2πrh

= 2 × × 7 × 21

= 14 × 22 × 3

= 924 cm^{2}

Therefore, volume of cylinder is 3234 cm^{3} and curved surface area is 924 cm^{2}

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