real world multi step equations

Question

The formula to find the surface area of a sphere is to take the radius of the sphere and square it and multiply that amount by pi and then multiply that by 4. This is written algebraically as S=4πr2, where S is the surface area, r is the radius, and the value of π is 3.14. Rewrite the equation to solve for the radius of the sphere if you know the sphere’s surface area. Then estimate the radius of a sphere given a surface area of 500 meters2.

Answer 1

S=4πr²                      solve for r. divide both sides by 4π.

S/4π= r²                  square both sides

sqrt(S/4π)= r       plug in your surface area for S

 

So sqrt(500m²/4π) = r

r = 6.3 meters