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The height of a cylinder is 14 cm and its curved surface area is 264 cm². The volume of the cylinder is
(a) 308 cm³
(b) 396 cm³
(c) 1232 cm³
(d) 1848 cm³

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Solution

(b) 396 cm³
Here, curved surface area $= 2 πrh = 264 {cm}^{3}$
$\Rightarrow r = \frac{264 \times 7}{2 \times 22 \times 14} = 3 c m$
$∴ Volume = {πr}^{2} h = \frac{22}{7} \times 3 \times 3 \times 14 = 396 {cm}^{3}$

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

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