The volume of the metallic sphere = π
The volume of the right circular cylinder = πr2h
= π (0.5)2 h
Equating the volume of the metallic sphere and right circular cylinder, we get
π = π x (0.5)2 h
\(\frac 1{(0.5)^2}\) = h
\(\frac 1{0.25}\) = h
4 = h
Hence, the height of the cylinder is 4cm.