Answer:
The answer to your question is Vc : Vs = [tex]\frac{3h}{4r}[/tex] Ac : As = [tex]\frac{1}{2} + \frac{h}{2r}[/tex]
Step-by-step explanation:
Process
1) Volume of a cylinder = Vc = πr²h
Volume of a sphere = Vs = 4/3 πr³
Vc : Vs = πr²h / 4/3πr³
= 3/4 πr²h / πr³
= 3h / 4r
= [tex]\frac{3h}{4r}[/tex]
2)
Area of a cylinder = 2πr² + 2πrh
Area of a sphere = 4πr²
Ta cylinder : Ta sphere = (2πr² + 2πrh)/ 4πr²
= 2πr²/4πr² + 2πrh/4πr²
= 1/2 + h/2r
= [tex]\frac{1}{2} + \frac{h}{2r}[/tex]
