Question

If the volume of a sphere increases by 72.8%, then
its surface area increases by how much and how ........

Answer 1

The area will increase by ((1+.728)^(2/3)-1)*100%
can you solve it? @mondalabhilash

Answer 2

\[Vol \propto r^3\]\[SA\propto r^2\]

Answer 3

\[V'=1.728V\]
\[r'^3=1.728r^3\]
\[(\frac{r'}{r})^3=1.728\]
Now find \[(\frac{r'}{r})^2\], and rearrange to get \[r'^2=???r^2\]