The curved surface area of a cylinder, whose height is 10 cm, is 1320 $$cm^2$$. What is the volume of this cylinder? [Use $$\pi = \frac{22}{7}$$]

The curved surface area of a cylinder, whose height is 10 cm, is 1320 $$cm^2$$.

curved surface area of a cylinder = $$2\times\ \pi\ \times\ radius\times\ height$$

$$1320=2\times\frac{22}{7}\times radius\times\ 10$$

$$3=\frac{1}{7}\times radius$$

Volume of this cylinder = $$\pi\ \times\ \left(radius\right)^2\times\ height$$

= $$\frac{22}{7}\times\left(21\right)^2\times\ 10$$

= 13860 $$cm^3$$ 

Now we need to convert 'cm' into 'm'.

1 m = 100 cm

= $$\frac{13860}{100\times\ 100\times\ 100}\ m^3$$

= 0.013860 $$m^3$$