Question

a cylindrical barrel contains 137.5 litre petrol with height 70 cm find its radius solution

Answer 1

Answer:

Radius = 25 cm

Step-by-step explanation:

According to the information provided in the question it is given as

Cylindrical barrel contains= 137.5 liter petrol

Height = 70 cm

We need to find its radius

Here it is given as it is a cylinder contains 137.5 liter is nothing but the volume but this quantity is given in liters we convert it into cm

1liter = 1000cubic centimeter

137.5 liter = 137.5 x 1000

                =137500 $cm^{3}$

So this is the volume of cube = 137500$cm^{3}$

Putting this value we get radius

volume of a cylinder = πr2h cubic units.

            [tex]137500 = \frac{22}{7} \times r^{2}\times 70\\ 137500 = 22\times r^{2} \times 10\\ 137500=220r^{2} \\ r^{2} =\frac{137500}{220} \\ [/tex]

            [tex]r^{2}= 625\\ r=\sqrt{625} \\ r=25cm[/tex]

Hence radius is = 25 cm