William Heathcote Solutions for Chapter: Form, Exercise 2: How spherical is the Earth?

How spherical is the Earth $?$

The radius of the Earth is $6371 \mathrm{km}$. Mount Everest is the highest point above sea level at $8848 \mathrm{m}$.

If the Earth were shrunk to the size of a football with a radius of $11 \mathrm{cm}$, how high would Mount Everest be $?$

The Earth's radius is slightly different if it is measured to the poles or to the equator. The distance from the centre of the Earth to the poles, the polar radius, is $6356.8 \mathrm{km}$ whereas the distance to the equator, the equatorial radius, is slightly larger at $6378.1 \mathrm{km}$.

If the Earth were shrunk to a polar radius of $11 \mathrm{cm}$, by how much would the equatorial radius be larger $?$