It is given in the question that
Surface area of a sphere is 900 pi square feet .
And the formula of surface area of sphere is
[tex]Area = 4 \pi r^2[/tex]
Substituting the given value of area, we will get
[tex]900 \pi = 4 \pi r^2
\\
r^2 = \frac{900}{4}
\\
r = \frac{30}{2} = 15 ft[/tex]
And the formula of volume of sphere is
[tex]V = \frac{4}{3} \pi r^3[/tex]
Substituting the value of r, we will get
[tex]V = \frac{4}{3} \pi (15)^3 = 4500 \pi ft^3[/tex]
And that's the required volume .
