The capacity of a cylindrical vessel with a hemispherical portion raised upward at the bottom as shown in the Fig.

Question

Write ‘True’ or ‘False’ and justify your answer:

The capacity of a cylindrical vessel with a hemispherical portion raised upward at the bottom as shown in the Fig. is πr²/3 [3h - 2r].

Answer 1

True

The capacity of given shape = volume of cylinder - volume of hemispherical portion

And the base radius of cylinder will be equal to radius of hemisphere.

Now, we know

Volume of a cylinder = πr²h,

where r = base radius and h = height of cylinder

And