Question

The diameter and height of a cylindrical tank is $1.75m$ and $3.2m$ respectively. How much is the capacity of tank in litre? ($\pi = \frac{{22}}{7}$ )

Answer 1

Hint: A cylinder is a solid figure with two parallel circles of the same size at the top and bottom and is called the bases. The height of the cylinder is the distance between the two bases. Use the formula for the volume of the cylinder, $V = \pi {r^2}h$

Complete step by step solution:
Diameter of the cylindrical tank,
 $\begin{array}{l}
d = 1.75m\\
r = \frac{d}{2}
\end{array}$
$\begin{array}{l}
d = 1.75m\\
r = \frac{d}{2}\\
r = \frac{{1.75}}{2}\\
r = 0.875m
\end{array}$
                             Height of cylindrical tank, $h = 3.2m$
                              Now, Volume of the cylindrical tank, put $\pi = \frac{{22}}{7}$, $h = 3.2m$, $r = 0.875m$
$\begin{array}{l}
V = \pi {r^2}h\\
V = \frac{{22 \times {{(0.875)}^2} \times 3.2}}{7}\\
V = 7.7{m^3}
\end{array}$
Capacity of the cylindrical tank is asked in litres so we need to convert its units. That is meter cube should be converted to litres.
As we know that,
                    $\begin{array}{l}
1{m^3} = 1000l\\
\therefore 7.7{m^3} = 7.7 \times 1000\\
\therefore 7.7{m^3} = 7700litres
\end{array}$

Hence the capacity of cylindrical tank = 7700 litres.
This is the required answer.

Additional Information: Total surface area of the cylinder is equal to the summation of the area of the top circle, area of the bottom circle and the area of the rectangle.
  $\begin{array}{l}
S = \pi {r^2} + \pi {r^2} + 2\pi rh\\
S = 2\pi {r^2} + 2\pi rh
\end{array}$


Note: Always check the unit of measurements i.e. in metres, centimetres and litres. Always check the parameters given radius and diameter given and the conversion properties.