Question

Among a cylinder (of radius r and height h=r), a cone (of radius r and height h=r) and a sphere of radius r the __ will have the maximum volume.

Answer 1

Volume of the sphere $=\frac{4}{3}\pi r^3$

Volume of the cone $=\frac{1}{3}\pi r^{2}h$
$=\frac{1}{3}\pi r^3$

Volume of the cylinder $=\pi r^{2}h$
$=\pi r^3$