Question

A milk tank is in the form of a cylinder whose radius is $1.5m$ and length is $7m$. Find the quantity of milk in litres that can be stored in the tank.

Answer 1

It is given that the milk tank is in the form of a cylinder whose radius is $1.5$m and length is $7$m.

It is clear that Length of milk tank = height of the cylinder

Now,

Radius of the cylinder $=1.5$ m and height of the cylinder $=7$ m

We know that the volume of the cylinder $=\pi r^{2}h$. Therefore, volume of the milk tank is:

$\pi r^{2}h=\frac{22}{7}\times (1.5{)}^2\times 7=22\times 2.25=49.5$ m${}^3$

We know,

$1$ m${}^3=1000$ liters

So,

$49.5$ m${}^2=49,500$ liters

Hence, $49,500$ liters of milk can be stored in the tank.