Question

The base of tank is square of side 22 metres. If it holds as much water as a well whose diameter is 14 metres and depth is 44 metres, find the depth of the tank.

Answer 1

we are supposed find the depth of tank
we will have to find volume of the well which is in the shape of cylinder and equate it with the volume of tank (Cuboid)

volume of cylinder = Π×r^2×h
d=14 => r= 7
π=22/7
h= 44
volume = 22/7×7×44
=22×44
= 968 is the volume of well
as the well can hold as much water as the tank so their volume must be equal
so let h be depth of the tank
=> 968= 22×h×22
=>(968)/(22×22)=h
=>968/484=h= 2

so depth of the tank is 2metres.

Answer 2

Answer:

Step-by-step explanation:

we are supposed find the depth of tank

we will have to find volume of the well which is in the shape of cylinder and equate it with the volume of tank (Cuboid)

volume of cylinder = Π×r^2×h

d=14 => r= 7

π=22/7

h= 44

volume of cylinder = $22/7*7*7*44$

$= 22*7*44\\= 6776 cm3\\Depth of the tank = volume of tank/volume of square tank \\= 6776/484 = 14$