Question

A metallic cone of radius 12 cm and height 24 cm is melted and made into spheres of radius 2 cm each. How many spheres are formed?

Answer 1

cone volume( v )
v =$\frac{1}{3}\pi r^{2}h$

r = 12... h = 24

$v=1/3\times 3.14\times 12\times 12\times 24v=3617c{m}^3$ (decimals neglected)


Now what is the volume of each sphere, and how many can we make...
volume of sphere ( v )
v = $\frac{4}{3}$ $\pi \times \left(r^3\right)$

r = 2
$v=4/3\times 3.14\times 2^{3}v=33.5c{m}^3\left(approx\right)$

so divide total volume by sphere volume
spheres = 3617 / 33.5
spheres = 107.97

so the answer is 108