Question

A sphere and a cylinder have the same radius and height. The volume of the cylinder is 48 cm³.

Answer 1

Answer:

32 cm³

Step-by-step explanation:

Volume of a sphere is:

$V_{s}=\frac{4}{3}\pi r^{3}$

Volume of a cylinder is:

$V_{c} = \pi r^{2} h$

The volume of the cylinder is 48 cm³.

The cylinder has the same radius (r) and height (2r) as the sphere.

$48 = \pi r^{2} (2r)\\48 = 2\pi r^{3}\\24 = \pi r^{3}$

Therefore, the volume of the sphere is:

$V_{s}=\frac{4}{3} (24)\\V_{s}=32$