Question

A person bought a water tank of circular base having the radius 1.05 meter and height 3.5 m for the use of own house from the shop. If the upper part of the tank is semi spherical , how many liters of water will be contained in the tank. Find it!

Help!! :)​

Answer 1

11000 litre of water is needed to fill the tank.

Answer:

solution given:

radius [r]=1.05m

Total height[H]=3.5m

height of cylinder[h]=2.45m

Now

The volume of the cylindrical part of tank=
`\pi r^2h=3.14*1.05^2 *2.45=8.4815m^3`

again

the volume of semi-spherical part of tank=
`(2)/(3) \pi r^(3) =(2)/(3)*3.14*1.05^3=2.4233m^3`

now

total volume=volume of the cylindrical part of tank + volume of semi-spherical part of tank

=8.4815+2.4233=10.9048
`m^(3)`

we have

`1m^3=1000litre`

`10.9048m^3=1000*10.9048=10904.8\:litre`

Explanation: