Question

the volume of the mud taken out on digging a cylindrical tank is 1540 m cube. find the depth of the tank if the diameter of the base is 7 m.

Answer 1

Volume of mud taken out = Volume of cylindrical tank
height = depth= h
πr^2h = 1540
22/7 x 7/2 x 7/2 x h = 1540
77/2 x h = 1540
h = 1540 x 2/77
h = 20 x 2 = 40 m

The depth of cylindrical tank = 40m

Answer 2

The depth of the tank is 49 m

Step-by-step explanation:

Diameter of tank = 7 m

Radius of tank =$\frac{7}{2}=3.5 m$

Volume of cylindrical tank = $\pi r^2 h = \frac{22}{7} \times 3.5^2 \times h$

The volume of the mud taken out on digging a cylindrical tank is 1540 m cube

So, $1540 = \frac{22}{7} \times 3.5^2 \times h$

$\frac{1540 \times 7 }{22 \times 3.5^2}= h$

40=h

Hence the depth of the tank is 49 m

#Learn more:

A cylindrical tank has a capacity of 2156 M cube and diameter of its base is 14 M if 22/7 find the depth of the tank

https://brainly.in/question/2475547