Question

34. A vessel is in the the form of a hemispherical bowl mounted by a hollow cylinder The diameter

of the sphere is 3.5 m and the height of the cylinder is 2 m. Find the volume of vessel​

Answer 1

`V=20.85\ m^3`

Explanation:

Given that,

The vessel is in the the form of a hemispherical bowl mounted by a hollow cylinder.

The diameter of the sphere is 3.5 m.

The height of the cylinder is 2 m

Height of the cylinder = Height of bowl− Radius of hemisphere

= 2 - (3.5/2)

= 0.25 m

The volume of the vessel is given by :

V = volume of hemispherical bowl + volume of cylinder

So,

`V=(2)/(3)\pi r^3+\pi r^2 h\\\\V=(2)/(3)* (22)/(7)* ((3.5)/(2))^3+(22)/(7)* (3.5)^2* 0.25\\\\V=20.85\ m^3`

So, the volume of the vessel is
`20.85\ m^3`.