Question

if the volume of a hemisphere is 500 cm³find max volume of cone that can cut fro hemisphere​

Answer 1

ANSWER

We have radius of Hemisphere is r.

Radius of Hemisphere = Radius of Cone

and

Radius of Hemisphere = Height of Cone

h = r.....(equation 1)

We know that maximum volume of the cone (V) is = (1/3)πr²h

i.e,

V=

3

1

×πr

3

cubic units

Thus the maximum volume of cone is

3

1

×πr

3

cubic units when take out from solid hemisphere of radius r.