Exercise 29 Page 754

We are told that the surface area of a sphere is 452.39 cm^2 and want to find its volume.

We first need to find its radius. To find the radius, we will use the formula for the surface area of a sphere. The surface area of a sphere is four times the product of π and the square of the radius. S.A.=4π r^2Let's substitute 452.39 for S.A in the formula and solve for r.

The radius of a sphere with surface area 452.39 cm^2 is approximately 6cm.

Now, let's find the volume of the sphere. The volume of a sphere is four thirds the product of π and the cube of the radius. V=4/3π r^3 Since we already know that the radius is 6, we can substitute its value for r into this formula.

The volume of a sphere to the nearest hundredth, with surface area 452.39 cm^2, is 904.78cm^3.