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The curved surface area of a cylinder is 1320 cm2 and its base has diameter 21 cm. Find the volume of the cylinder.

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Given,

Curved surface area = 1320 cm2

Diameter of base = 21 cm

Radius of base = \(\frac{diameter}{2}\) = \(\frac{21}{2}\) cm

So,

= 2πrh = 1320

= 2 x \(\frac{22}{7}\) x \(\frac{21}{2}\) x h = 1320

= h = \(\frac{1320\times 14}{2\times 22\times 21}\) = 20 cm

∴ Volume of cylinder = πr2h = \(\frac{22}{7}\)\(\frac{21}{2}\) x \(\frac{21}{2}\)x 20 = 6930 cm3

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