Find the volume of a cylinder, the diameter of whose base is 7 cm and height being 60 cm.

Question:

Find the volume of a cylinder, the diameter of whose base is 7 cm and height being 60 cm. Also, find the capacity of the cylinder in litres.

Solution:

Given :

Diameter, $d=7 \mathrm{~cm}$

Radius, $r=3.5 \mathrm{~cm}$

Height, $h=60 \mathrm{~cm}$

Volume of the cylinder, $\mathrm{V}=\pi r^{2} h$

$=\frac{22}{7} \times 3.5^{2} \times 60$

$=2310 \mathrm{~cm}^{3}$

Capacity of the cylinder in litres $=\frac{2310}{1000} \quad(1$ litre $=1000$ cubic $\mathrm{cm})$

$=2.31 \mathrm{~L}$

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