Question

a petrol transporting truck have a cylindrical container of diameter 4.2m and length of 6m. find out the maxium capacity of that container ​

Answer 1

Tank is in the shape of a cylinder with hemispheres of same radius attached to both ends.

Given : Length of the tank =6 m

Radius r=1 m is same for all shapes

Height of hemispheres = Radius (r)=1 m

∴ Height of the cylinder (h)=6−2=4 m

And radius of hemisphere =1 m

Now, volume of the tank = volume of two hemipheres + volume of a cylinder

Volume of a cylinder =πr

2

h

=π(1)

2

×4

=4π

Volume of a hemisphere =

3

2

πr

3

=

3

2

π(1)

3

=

3

2π

∴ Volume of the tank =2×

3

2π

+4π

=

3

16π

=16.75516 m

3

=16577.16 litres

solution