Question

a solid is in the shape of cone standing on a hemisphere with both their radii equal to 1 centimetre and height of the cone is equals to its radius find the volume of the solid in terms of Pi​

Answer 1

As we know that, volume of hemisphere

= 2/3 πr^3

= 2/3 π (1)^3

=2/3π cm^3

Volume of cone = 1/3πr^2h

=1/3π (1)^2 × 1

= 1/3π cm^3

Volume of solid= 2/3π + 1/3π

3π/3π = π cm^3.

Answer 2

Answer:

π cm³

Step-by-step explanation:

given that h = r = 1 cm

volume of solid = volume of cone + volume of hemisphere

                           = 1/3 πr²h + 2/3πr³

                           = 1/3 πr²(h+2r)

                           = 1/3π(1)²(r+2r)

                           = 1/3π(3r)

                           = 1/3 π{3(1)}

                           = 1/3 π(3)   {cancel 3}

                           = π cm³

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