Question

A solid is in the shape of a cone standing on a hemisphere with both their radii being equal to 1 cm and the height of the cone is equal to its radius. Find the volume of the solid in terms of Ï.

Answer 1

i am saying the value its 3.14 same as radius

Answer 2

For the cone:

r = 1cm, h = 1cm

For the hemisphere:

r= 1cm

Volume of the solid = Volume of cone + Volume of hemisphere

$\longrightarrow$$\sf{ \frac{1}{3} \pi \: {r}^{2} h + \frac{2}{3} \pi \: {r}^{3} = \frac{1}{3} \pi \: {r}^{2} (h + 2r)}$

$\longrightarrow$$\sf{ \frac{1}{3} \times \pi \times {1}^{2} (1 + 2 \times 1) {cm}^{2} }$

$\longrightarrow$$\sf{ \frac{1}{3} \times \pi \times 1 \times 3 {cm}^{2}}$

$\longrightarrow$${\boxed{\sf{\red{π{cm}^{3}}}}}$