Solution
Given that two cylinders have the same volume but different dimension
For Cylinder 1
Diameter is 10 cm Height is 30 cm
For Cylinder 1
Diameter is 8 cm Height is h cm
The volume of a cylinder is given as;
[tex]V=\pi r^2h[/tex]Since the two cylinders have the same volume,
Since radius = Diameter/2
[tex]\begin{gathered} \pi\times(\frac{10}{2})^2\times30=\pi\times(\frac{8}{2})^2\times h \\ \Rightarrow5^2\times30=4^2\times h \\ \Rightarrow h=\frac{25\times30}{16}\approx46.9 \end{gathered}[/tex]Hence, the second cylinder the nearest tenth of a centimeter is 46.9 cm
