Question

Find the surface area and volume for the sphere below. Use 3.14 for pi.
the surface area is 63 inches

The surface area of the sphere is _____ square inches.
The volume of the sphere is _____ cubic inches.

Answer 1

Surface area = 63 inches

Volume = 4/3 * pi * r^3

To find the radius (r), we can use the formula for surface area of a sphere:
Surface area = 4 * pi * r^2
63 = 4 * 3.14 * r^2
63 = 12.56 * r^2
r^2 = 63 / 12.56
r^2 = 5
r = sqrt(5)
r ≈ 2.24 inches

Now we can calculate the surface area and volume:
Surface area = 4 * 3.14 * (2.24)^2 ≈ 4 * 3.14 * 5 ≈ 62.8 square inches

Volume = 4/3 * 3.14 * (2.24)^3 ≈ 4/3 * 3.14 * 11.25 ≈ 47.1 cubic inches

Therefore, the surface area of the sphere is approximately 62.8 square inches and the volume is approximately 47.1 cubic inches.