A cylinder has a diameter of 20 cm. The area of the curved surface is 100 $c m^{2}$ (sq. cm). Find the volume of the cylinder correct to one decimal place.

Answer: 502.9 $c m^{3}$ when h is taken as 1.6 cm

True

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False

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Solution

The correct option is A True
Curved Surface Area of a Cylinder of Radius
"R" and height "h" $= 2 π R h$
Hence, CSA of the given cylinder $= 2 \times \frac{22}{7} \times 10 \times h = 100 s q c m$
$=> h = 1.6 c m$

Volume of a Cylinder of Radius "R" and height "h" $= π R^{2} h$
Hence, volume of the given cylinder $= \frac{22}{7} \times 10 \times 10 \times 1.6 = 502.9 {c m}^{3}$ (approximated)

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