MATH SOLVE

9 months ago

Q:
# 3. 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=4πr 2 , 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 .

Accepted Solution

A:

The way to get the equation for the radius (r) is to get r by itself. So divide each side by 4pi

500/4pi=r^2

Now take the square root of each side to get the equation of r.

sqrt(500/4pi)=r

500/4pi=r^2

Now take the square root of each side to get the equation of r.

sqrt(500/4pi)=r