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The diameter of a cylinder is 14 cm and its curved surface area is 220 cm². The volume of the cylinder is
(a) 770 cm³
(b) 1000 cm³
(c) 1540 cm³
(d) 6622 cm³

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Solution

(a) 770 cm³
Diameter = 14 cm
Radius = 7 cm
Now, curved surface area $= 2 πrh = 220 {cm}^{2}$
$\Rightarrow h = \frac{220 \times 7}{2 \times 22 \times 7} = 5 c m$
$∴ Volume = {πr}^{2} h = \frac{22}{7} \times 7 \times 7 \times 5 = 770 {cm}^{3}$

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