use the formula for the surface area sphere to find the surface area of a basketball that has a diameter of 9.2 inches. Use 3.14 pi and round your answers to the nearest hundredth, if necessary.
a. 1,063.08 in.^2
b. 66.44 in.^2
c. 84.64 in.^2
d. 265.77 in.^2
The formula for the surface area of a sphere is 4*pi*r^2, where r is the radius.
Given that the diameter of the basketball is 9.2 inches, the radius is half of the diameter, so the radius is 4.6 inches.
Plugging in the radius into the formula:
Surface area = 4 * 3.14 * (4.6)^2
Surface area = 4 * 3.14 * 21.16
Surface area = 265.77 in.^2
Therefore, the surface area of the basketball is approximately 265.77 in.^2, which rounded to the nearest hundredth is option d.