Chapter 19, Problem 49TS

The egg is a large cell and contributes almost all the nutrients present in a fertilized egg. The sperm contributes little more than its set of chromosomes. Just how much bigger is a human egg than a human sperm? The human egg is about 100 micrometers in diameter. The head of a human sperm is about 4 micrometers in diameter (and, if you are curious, a human sperm is about 50 micrometers long). Show that the volume of a human egg is 15,625 times larger than the volume of a human sperm. Recall that the formula for the volume of a sphere is $\frac{4}{3}\pi r^3.$