Step-by-step explanation:
We have, a sphere and a cylinder have the same radius and height. The volume of the cylinder, [tex]V_C=48\ cm^3[/tex]
The volume of sphere is : [tex]V_S=\dfrac{4}{3}\pi r^3[/tex] .....(1)
The volume of cylinder is : [tex]V_C=\pi r^2h[/tex] ....(2)
Dividing equation (1) and (2), such that,
[tex]\dfrac{V_S}{V_C}=\dfrac{4\pi r^3}{3\pi r^2h}[/tex]
As r = h
[tex]\dfrac{V_S}{V_C}=\dfrac{4}{3}\\\\V_S=\dfrac{4V_C}{3}\\\\V_S=\dfrac{4}{3}\times 48\\\\V_S=64\ cm^3[/tex]
So, the volume of sphere [tex]64\ cm^3[/tex]. therefore, the correct option is (A).
Answer:
32cm^3
Step-by-step explanation:
This was the answer on edge
