# What is the ratio of surface area to volume for a sphere?

We will use the concept of mensuration in order to find the ratio.

## Answer: For a sphere with radius r, the ratio of surface area to volume is 3 / r.

Let us see how we will use the concept of mensuration in order to find the ratio.

**Explanation:**

We know that volume and surface of a sphere if its radius is r is given by,

Volume of sphere = (4 / 3) π r^{3}

Surface area of sphere = 4 π r^{2}

We have to find the value of A / V.

Hence, A / V = (4 π r^{2}) ÷ (4 / 3) π r^{3} = 3 / r

### Hence, for a sphere of radius r, the ratio of surface area to volume is 3 / r.

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