Question

Find a formula expressing the radius r of a sphere as a function of its surface area

Answer 1

The surface area of a sphere :

`A=4 \pi r^2`

Solving this equation for r:

A/(4* pi) = r^2 apply sqrt to both sides:

r = sqrt [A/(4 pi)]

Then the radius of a sphere as a function of its surface area :

`r= \sqrt{ (A)/(4 \pi ) }`

Hope you got the idea