Exercise 30 Page 754

We are told that the volume of a sphere is 523.6 m^3 and want to find its surface area.

We first need to find its radius. To find the radius, we will use the formula for the volume of a sphere. The volume of a sphere is four thirds the product of π and the cube of the radius. V=4/3π r^3Let's substitute 523.6 for V in the formula and solve for r.

The radius of a sphere with volume 523.6 m^3 is approximately 5m.

Now, let's find the surface area of the sphere. The surface area of a sphere is four times the product of π and the square of the radius. S.A.=4π r^2 Since we already know that the radius is 5, we can substitute its value for r into this formula.

The surface area of a sphere to the nearest whole number, with volume 523.6m^3, is 314m^2.