The height of a cylinder is 14 cm and its curved surfac

The height of a cylinder is 14 cm and its curved surfac
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The height of a cylinder is 14 cm and its curved surface area is 264cm2 .The volume of the cylinder is 

 

(a) 308 cm3         (b) 396 cm3       (c) 1232 cm3         (d) 1848 cm3

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Right Answer is:

SOLUTION

ANSWER:  396 cm3 b

Formula:

Curved Surface Area = 2πrh

Given that the curved surface area = 264 cm2 and the height = 14 cm:

2πr (14) = 264

28 x πr = 264

r = 26428π

r = 3 cm approx

Volume =π × r2 × h

Volume = π × 32 × 14 = 396 cm3 approx

The volume of the cylinder is 396 cm3