Question

question : http://gyazo.com/b2043936c376e9c3e210c50e74f31924

Answer 1

If you want to express the surface area, SA, as a function of the volume of the solid, then you'll need to solve the formula for the volume for r:\[V=\frac{ 4\pi*r^3 }{ 3 }\rightarrow 3V=4\pi~r^3\]

Answer 2

Isolate r^3 in the latter equation. Then solve the resulting equation for r. Substitute your result into the formula for surface area:\[S. A. = 4\pi~r^2\rightarrow4\pi(r~as~a~function~of~V)^2\]