Answer:
32 cm³
Step-by-step explanation:
Volume of a sphere is:
[tex]V_{s}=\frac{4}{3}\pi r^{3}[/tex]
Volume of a cylinder is:
[tex]V_{c} = \pi r^{2} h[/tex]
The volume of the cylinder is 48 cm³.
The cylinder has the same radius (r) and height (2r) as the sphere.
[tex]48 = \pi r^{2} (2r)\\48 = 2\pi r^{3}\\24 = \pi r^{3}[/tex]
Therefore, the volume of the sphere is:
[tex]V_{s}=\frac{4}{3} (24)\\V_{s}=32[/tex]
