Find the surface area and volume for the sphere below. Use 3.14 for pi, the base is 42in
To find the surface area and volume of a sphere, we use the formulas:
Surface area = 4 * pi * r^2
Volume = 4/3 * pi * r^3
Given that the radius (r) is equal to half of the diameter, which is 42in, the radius is 21in.
Surface area:
Surface area = 4 * 3.14 * 21^2
Surface area = 4 * 3.14 * 441
Surface area = 4 * 1384.74
Surface area ≈ 5539.836 in^2
Volume:
Volume = 4/3 * 3.14 * 21^3
Volume = 4/3 * 3.14 * 9261
Volume = 4 * 3087.48
Volume ≈ 12,349.92 in^3
Therefore, the surface area of the sphere is approximately 5539.836 square inches and the volume is approximately 12,349.92 cubic inches.