## mondalabhilash 2 years ago If the volume of a sphere increases by 72.8%, then its surface area increases by how much and how ........

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1. mayankdevnani

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

2. henpen

$Vol \propto r^3$$SA\propto r^2$

3. henpen

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