The volume of a sphere is 8 times that of another sphere. What is the ratio of the surface area of the bigger sphere to that of the other?
Answer & explanation
Correct answer: option 4
As we know,
The volume of the sphere is the cube of its radius.
So,
\(\frac{V}{v}\) = \(\frac{RADIUS^3}{radius^3}\)
\(\frac{8}{1}\) = \(\frac{RADIUS^3}{radius^3}\)
\(\frac{RADIUS}{radius}\) = \(\frac{2}{1}\)
Now the area of the spheres =
\(\frac{AREA}{area}\) = \(\frac{2^2}{1^2}\) = \(\frac{4}{1}\)