Question

the volume of earth must be dug out to make a well of diameter 5 m and depth 14 m find the volume

Answer 1

Hello !!
Given :- Diameter , d = 5m Radius , r = 5/ 2 = 2.5 M Height , h= 14 M
we know the volume of cylinder = πr^2h
{ we chose cylinder because the structure of the earth would dig it would look like cylinder}
put the value ,
πr^2h => 22/7× 25/10×25/10×14 = > 275 m^3
hope this help you:)

Answer 2

The required volume is 275 $m^{3}$.

Given:

Diameter=5m

Depth=14m

To find:

The volume of the earth dug out

Solution:

The required volume of the cylindrical well will be obtained by calculating the volume of the earth dug.

So, the required volume of the cylindrical well=π$r^{2}$h

Here, the radius, r=diameter/2=5/2=2.5 m

The height, h=14m

Using the values,

=π×$2.5^{2}$×14

=22/7×2.5×2.5×14

=22×25/10×25/10×2

=44×25×25/100

=27,500/100

=275 $m^{3}$

Therefore, the required volume is 275 $m^{3}$.