Question : The curved surface area of a cylinder, whose height is 10 cm, is 1320 cm2. What is the volume of this cylinder? [Use $\pi$ $\left.=\frac{22}{7}\right]$
Option 1: 1388 m3
Option 2: 0.001368 m3
Option 3: 0.1386 m3
Option 4: 0.01386 m3
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Correct Answer: 0.01386 m 3
Solution : Given: Height = 10 cm Curved surface area = 1320 cm 2 We know that, Curved surface area of cylinder = $2\pi r h$ ⇒ $1320=2\pi r h$ ⇒ $1320=2\times\frac{22}{7}\times r\times10$ ⇒ $r=21$ Now, Volume of cylinder = $\pi r^2 h$ $= \frac{22}{7}\times 21\times 21\times10$ $= 13860$ cm 3 $=\frac{13860}{1000000}=0.01386$ m 3 Hence, the correct answer is 0.01386 m 3 .
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