Question

A tank of petrol pump has capacity of containing 38500 litre petrol and the diameter of this tank is 3.5 m. Find the height of this tank​

Answer 1

Answer:

height of the tank = 4 m

Step-by-step explanation:

volume of a cylinder with radius, r and height h is given by the formula,

V = $\pi r^2h$ cu.units  and we have 1m³ = 1000 ltr

given , V = 38500 ltr = 38500/1000 m³ = 38.5 m³

also, diameter = 3.5m

=> radius, r of the tank = 3.5/2 = 1.75 m

so, we can write, 38.5 m³ =  $\frac{22}{7}$ * 1.75 * 1.75 * h    m³

                                $\frac{77}{2}$ m³  = $\frac{22}{7}$ * $\frac{7}{4}$ * $\frac{7}{4}$ * h  m³

                                  $\frac{77}{2}$ = $\frac{11}{1}$ * $\frac{1}{2}$ * $\frac{7}{4}$ * h  

                                 h  = $\frac{1}{11}$ * $\frac{2}{1}$ * $\frac{4}{7}$ *   $\frac{77}{2}$

                                 h  =  $\frac{1}{1}$*  $\frac{2}{1}$ * $\frac{4}{7}$ *   $\frac{7}{2}$

                                 h  =  $\frac{1}{1}$*  $\frac{4}{7}$ *   $\frac{7}{1}$

                                 h  =   $\frac{4}{1}$ *   $\frac{1}{1}$ = 4m