What is the ratio of surface area to volume for a sphere with the following measurements?
We will use the concept of mensuration in order to find the ratio.
Answer: The ratio of surface area to volume for a sphere of radius r is 3 / r.
We know that volume and surface of a sphere if its radius is r is given by,
Volume of sphere = (4 / 3) π r3
Surface area of sphere = 4 π r2
We have to find the value of A / V.
Hence, A / V = (4 π r2) / (4 / 3) π r3 = 3 / r