Question

The capacity of a cylindrical tank is 246.4 litres. If its height is 4 metres, what is the diameter of the base of the tank?

Answer 1

Volume of the tank =  246.4 litres =  246400 cm^3

Let the  radius of the base be r cm . Then ,

(22/7 xx r^2 xx 400) = 246400

hArr    r^2 = ((246400 xx 7)/(22 xx 400))

hArr   r^2 =  196          hArr   r = 14

:.    Diameer of the base = 2r =  28 cm.

Answer 2

The diameter of the base of the tank is 0.28m.

Given:

The capacity of a cylindrical tank is 246.4 liters.

The height of the tank is 4 meters.

To Find:

Diameter of the base of the tank.

Solution:

Here, it is given that the volume of the cylindrical tank is $246.4L$.

we know that, volume $=\pi r^{2}h$.

Let's suppose that the radius is $r$.

now,

$\frac{246.4}{1000} =\frac{22}{7}\times r^{2}\times 4$

here, $r^{2}=\frac{246.4\times 7}{22\times 4\times 1000}$

now, after calculating the above equation, we get,

$r=\sqrt{0.0196}\\ =0.14m$

here, the diameter of the base $=2\times r$

                                                  $=0.14\times 2\\=0.28m$

Hence, the diameter of the base of the tank is 0.28m.