7. Weather The volume of a sphere as a function of its surface area is
given by V = 4T(S)
3
a. Use the properties of roots to rewrite the expression for the volume
as the product of a simplified coefficient term (with positive
exponents) and a variable term. Then write the approximate
formula with the coefficient rounded to the nearest thousandth.
b. A spherical weather balloon has a surface area of 500 ft². What is
the approximate volume of the balloon?