To find the surface area of a sphere, you can use the formula:
Surface Area = 4 * π * r^2
Where 'π' (pi) is approximately 3.14 and 'r' is the radius of the sphere. First, you need to calculate the radius. Given the diameter of the basketball is 9.2 inches, the radius is half of that, which is:
r = diameter / 2
r = 9.2 inches / 2
r = 4.6 inches
Now you can plug in the radius into the formula to calculate the surface area:
Surface Area = 4 * 3.14 * (4.6 inches)^2
Surface Area = 4 * 3.14 * 21.16 inches^2
Surface Area = 4 * 3.14 * 21.16 inches^2
Surface Area = 12.56 * 21.16 inches^2
Surface Area ≈ 266.0816 inches^2
Rounded to the nearest hundredth, the surface area is:
Surface Area ≈ 266.08 inches^2
The correct answer (based on the given options and rounding to the nearest hundredth) is:
1,063.08 in squared
It seems that there is an error in the given options. The correct approximate surface area should be 266.08 inches squared, rounded to the nearest hundredth, and none of the options listed above match this value. Please select the closest answer or provide the correct options if this is for a multiple-choice scenario.
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
84.64 in squared
256.77 in squared
1,063.08 in squared
66.44 in squared
1 answer