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

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

Volume of hemisphere

Capacity of given shape

So, Given statement is true.