Answer:
[tex]r=\frac{3}{4}h[/tex]
Step-by-step explanation:
we know that
The volume of the sphere is equal to
[tex]V=\frac{4}{3}\pi r^{3}[/tex] ----> equation A
The volume of the right cylinder is equal to
[tex]V=\pi r^{2}h[/tex] ----> equation B
equate equation A and equation B
[tex]\frac{4}{3}\pi r^{3}=\pi r^{2}h[/tex]
Simplify
[tex]\frac{4}{3}r=h[/tex]
[tex]r=\frac{3}{4}h[/tex]
