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.
Find the surface area and volume for the sphere below. Use 3.14 for pi, the base is 42in
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