Q. 505.0( 1 Vote )

# The height of a cylinder is 14 cm and its curved surface area is 264 cm^{2}. The volume of the cylinder is

A. 308 cm^{3}

B. 396 cm^{3}

C. 1232 cm^{3}

D. 1848 cm^{3}

Answer :

Given: The height of a cylinder is 14 cm.

Its curved surface area is 264 cm^{2}.

Curved surface area of a Cylinder is : 2πrh (here r and h are radius and height respectively)

∴ 2πrh = 264

⇒ 2 × π × r × 14 = 264

⇒r = = 3cm

∴ r = 3cm

Volume of a Cylinder is: πr^{2}h

Let V be the volume of the Cylinder

∴ V = πr^{2}h

⇒ V = π × 3^{2} × 14 = 396cm^{3}

∴ Volume of the Cylinder is 396cm^{3}

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