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
To find the surface area of a sphere, we use the formula:
Surface Area = 4 * pi * r^2, where r is the radius of the sphere.
Given that the diameter of the basketball is 9.2 inches, we can find the radius by dividing the diameter by 2:
radius = diameter / 2 = 9.2 / 2 = 4.6 inches
Now, we can substitute the value of the radius into the formula:
Surface Area = 4 * 3.14 * (4.6)^2
Calculating this expression:
Surface Area = 4 * 3.14 * 21.16
Surface Area = 265.77 in.2
Therefore, the surface area of the basketball is 265.77 inches squared.