Question

a solid is in the shape of hemisphere surmounted by a cone if the radius of the hemisphere and base radius of cone is 7 cm and height of cone is 3.5 CM find the volume of solid .​

Answer 1

volume of solid 744.3 cm²

Answer 2

The volume of solid is 987.76 cm³.

Explanation:

The volume of the given solid is given as:

V = Volume of cone + Volume of hemisphere

Where,

Volume of cone = 1/2 πr²h

Volume of hemisphere = 2/3 πr³

Now,

V = (1/2 πr²h) + (2/3 πr³)

Where,

r = 7 cm (Given)

h = 3.5 cm (Given)

On substituting the values, we get,

V = (1/2 × π × 7 × 7 × 3.5) + (2/3 × π × 7 × 7× 7)

V = 269.39 + 718.37

∴ V = 987.76 cm³