Find the volume in terms of pi of a sphere with a surface area of 9 pi square feet

So we want to know the volume of a sphere in terms of pi if we know the area of the sphere is equal to A=9pi. So the area of the sphere is A=4*pi*r^2 and the volume V = (4/3) * pi*r^3. We can get the radius from the area: 9pi=4*pi*r^2 and we see the pi cancels out: 9=4*r^2. We divide by 4 and take the square root: r=sqrt (9/4) = 3/2. So r=3/2 and we can input it into volume V.

V = (4/3) * (3/2) ^3*pi = (4/3) * (27/8) * pi = (9/4) * pi.

So the volume of the sphere is V = (9/4) * pi cubic feet.