Question

The volume of a hemisphere is 12 cm^3. The volume of the biggest cone that can be made out of it is ____cu.cm
Plz solve immediately

Answer 1

Answer: Let the radius of the hemisphere = r units

Radius of the cone = radius of the hemisphere

height of the cone = radius of the hemisphere

h = r ----( 1 )

Therefore ,

Required

maximum volume of the cone = ( 1/3 ) πr²h

V = ( 1/3 ) × π × r² × r

= ( 1/3 ) × πr³ cubic units

Answer 2

$Volume \: of \: Hemisphere = \frac{2}{3} \pi {r}^{3}$

$12 = \frac{2}{3} \times \frac{22}{7} {r}^{3}$

${r}^{3} = \frac{12 \times 3 \times 7}{2 \times 22}$

${r}^{ 3} = \frac{252}{44}$

$r = 0.8423$