Question

An overhead water tanker is in the shape of a cylinder has capacity of $61.6$ cubic metres. The diameter of the tank is $5.6m$. Find the height of the tank.

Answer 1

Given:

The capacity of overhead water tanker is in the shape of a cylinder is $61.1$ cubic metres

So, the Volume of cylinder $=61.6m^3$

$\Rightarrow \pi r^{2}h=61.6m^3$---(1) [Since, the volume of cylinder $\left(V\right)=\pi r^{2}h$ cubic units]

It is given that,

Diameter of the base $\left(d\right)=5.6m$

$\Rightarrow$ Radius$\left(r\right)=2.8m$

Now, from (1),

$\pi r^{2}h=61.6m^3$

$\Rightarrow \frac{22}{7}{\left(2.8m\right)}^{2}h=61.6m^3$

$\Rightarrow \frac{22}{7}\times \left(2.8m\right)\times \left(2.8m\right)\times h=61.6m^3$

$\Rightarrow 22\times \left(2.8m\right)\times \left(0.4m\right)\times h=61.6m^3$

$\Rightarrow 22\times \frac{28}{10}\times \frac{1}{10}\times h=61.6m$

$\Rightarrow h=\frac{61.6\times 10\times 10}{22\times 28}m$

$\Rightarrow h=0.1\times 5\times 5m$

$\Rightarrow h=2.5m$

Hence, height of the cylindrical tank is $2.5m$