A solid hemisphere of wax of radius 12cm is melted and made into a cone of base radius 6cm. ____ is the height of the cone.

# A solid hemisphere of wax of radius 12cm is melted and made into a cone of base radius 6cm. ____ is the height of the cone.

Fill Out the Form for Expert Academic Guidance!l

+91

Live ClassesBooksTest SeriesSelf Learning

Verify OTP Code (required)

### Solution:

Radius of the hemisphere, r1​= 12 cm
Radius of the base of the cone, r2​= 6 cm
Height of the cone = h = ?
volume of wax cone = volume of wax hemisphere.
$\frac{1}{3}\pi {r}^{2}.h=\frac{2}{3}\pi {r}^{3}$
$\frac{1}{3}\pi {6}^{2}.h=\frac{2}{3}\pi {12}^{3}$

$h=3619.11*\frac{7}{264}$
h = 96

## Related content

 Area of Square Area of Isosceles Triangle Pythagoras Theorem Triangle Formula Perimeter of Triangle Formula Area Formulae Volume of Cone Formula Matrices and Determinants_mathematics Critical Points Solved Examples Type of relations_mathematics

+91

Live ClassesBooksTest SeriesSelf Learning

Verify OTP Code (required)