Question

The surface area of this sphere is 1,519.76 square feet. What is the volume of this sphere?

Use ग ≈ 3.14 and round your answer to the nearest hundredth.

Answer 1

Answer: 5572.45 cubic feet

Work Shown:

Use the surface area to determine the radius.

SA = 4*pi*r^2

1519.76 = 4*3.14*r^2

1519.76 = 12.56*r^2

r^2 = 1519.76/12.56

r^2 = 121

r = sqrt(121)

r = 11

The radius of the sphere is 11 feet.

Now we can determine the volume of the sphere.

V = (4/3)*pi*r^3

V = (4/3)*3.14*11^3

V = 5572.45333333333

V = 5572.45

The volume of the sphere is approximately 5572.45 cubic feet.

The result is approximate because pi = 3.14 is approximate.