Answer:
[tex]V=20.85\ m^3[/tex]
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,
[tex]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[/tex]
So, the volume of the vessel is [tex]20.85\ m^3[/tex].
