Question

A metal ball is heated through a certain temperature. Out of mass, radius, surface area and volume, which will undergo largest percentage increase and which one the least?

Answer 1

Let the volume expansion be $\gamma$

Let the area expansion be $\beta$

Let the linear expansion be $\alpha$

Now we know that $\gamma =3\alpha$

$\beta =2\alpha$

Also change in volume will be directly proportional to $\gamma =3\alpha$

And change in radius will be proportional to $\alpha$

So maximum percentage change will occur in volume and least in radius.