# If the volume of a sphere is increased by 95 5/16% without changing the shape, what will be the percentage increase in the surface area?

##### 1 Answer

#### Answer:

#### Explanation:

First we observe that, for similar figures. If a similar figure is increased by a scale factor

We require an increase of

Remember this will give us

Now this is volume, so:

We require the scale factor for area.So:

If we now subtract 1 form this, we will get the increase in area percentage:

This is: