Question

The radius of the base of a cylindrical water tank
is 70 cm. Find the height of the water in the tank
if it contains 2.1 x 10 litres of water.​

Answer 1

Answer:

2.1x l0 litre=21 litre=21000cm3

r = 70cm

V= πr^2h

21 ooo=22x70x70xh/7

21000=22X10x70xh

h:21 ooo/(22x10x70) = I 4/11cm

Answer 2

The height of the tank is 1.4 cm.

Step-by-step explanation:

Given : The radius of the base of a cylindrical water tank  is 70 cm. It contains 2.1 x 10 liters of water.​

To find : The height of the water in the tank  ?

Solution :

The volume of the cylinder is $V=\pi r^2 h$

Where, radius of the cylindrical tank is r= 70 cm.

Volume of the tank is $V=2.1\times 10\ l$

We know, 1 l = 1000 cm³

So, $2.1\times 10\ l=2.1\times 10\times 1000=21000\ cm^3$

Substitute the values,

$21000=\frac{22}{7}\times 70^2\times h$

$h=\frac{21000\times 7}{22\times 70\times 70}$

$h=1.36\ cm$

Therefore, the height of the tank is 1.4 cm.

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