Use the formula for the surface area of a sphere to find the surface area of a basketball that has a diameter of 9.2 inches. Use 3.14 pi and round your answer to the nearest hundredth, if necessary.(1 point)
Responses
84.64 in.2
84.64 inches squared
1,063.08 in.2
1,063.08 inches squared
265.77 in.2
265.77 inches squared
66.44 in.2
66.44 inches squared
The formula for the surface area of a sphere is given by:
Surface Area = 4πr^2
where r is the radius of the sphere.
Since the basketball has a diameter of 9.2 inches, we can find the radius by dividing the diameter by 2:
r = 9.2 inches / 2 = 4.6 inches
Plugging in this value for r, we can calculate the surface area:
Surface Area = 4π(4.6)^2 = 4π(21.16) ≈ 265.77 in.2
Therefore, the surface area of the basketball is approximately 265.77 in.2.