Question

12 spheres of the same size are mode from melting a solid cylinder of 16 cm diameter and 2 cm height what is the diameter of each sphere is

Answer 1

volume of 12 spheres equal to Volume of Cylinder
that is.
$16\pi \times {r}^{3} = \pi \times {r}^{2} \times h$
radius of cylinder is 8 cm
height of cylinder is 2 cm
$16\pi \times {r}^{3} = \pi \times {8}^{2} \times 2$
$16\pi \times {r}^{3} = 128\pi \\ {r}^{3} = 8 \\ r = \sqrt[3]{8} \\ r = 2$
radius of sphere is 2 cm
diameter of sphere is 4 cm
this may help you