Question

A solid metal cube of side 46 cm is melted and the molten metal is recast into cylindrical solids of diameter 4cm and height 3.2 cm. How many solids can be made

Answer 1

volume remains const.
vol of cube = 46^3
vol of 1 cylindrical solid =
$\pi {r}^{2} h$
so. pi × 2×2× 3.2.
vol of cube = n × vol of cylinder . n denotes no. of solids that can be formed.
46 ×46×46 = n × 3.14 ×2×2×3.2.
please solve for n.