Question

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

Answer 1

Answer:

$V=20.85\ m^3$

Step-by-step 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,

$V=\dfrac{2}{3}\pi r^3+\pi r^2 h\\\\V=\dfrac{2}{3}\times \dfrac{22}{7}\times (\dfrac{3.5}{2})^3+\dfrac{22}{7}\times (3.5)^2\times 0.25\\\\V=20.85\ m^3$

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