Question

A cylinder has a diameter of 20 cm. The area of the curved surface is 100 cm² (sq. cm). Find the volume of the cylinder correct to one decimal place.

Answer 1

Diameter of the cylinder = 20 cm

Hence, Radius (r) = 10 cm

Height = h cm

Volume of the cylinder = πr²h

= ${\displaystyle \frac{22}{7}\times 10\times 10\times 1.6}$

= ${\displaystyle \frac{22\times 100\times 1.6}{7}}$

= 502.857 cm³

= 502.9 cm³

or 

= ${\displaystyle \frac{22}{7}\times 10\times 10\times \frac{35}{22}}$

= 500 cm³