Surface Area of Spheres Quick Check 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 ) 66.44 1,063.08 in 84.64 in 265.77 in .
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.
In this case, since you are given the diameter of the basketball (which is twice the radius), you need to divide the given diameter by 2 to find the radius.
Given:
Diameter = 9.2 inches
Step 1: Find the radius
Radius = Diameter / 2
Radius = 9.2 / 2
Radius = 4.6 inches
Step 2: Substitute the radius into the surface area formula
Surface Area = 4 * π * r^2
Surface Area = 4 * 3.14 * (4.6)^2
Surface Area = 4 * 3.14 * 21.16
Surface Area ≈ 265.77 square inches
Therefore, the surface area of the basketball is approximately 265.77 square inches.