Question

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

66.44 in.2
66.44 inches squared

1,063.08 in.2
1,063.08 inches squared

265.77 in.2
265.77 inches squared

84.64 in.2
84.64 inches squared

Answer 1

The formula for the surface area of a sphere is given by:
Surface Area = 4πr^2

Given that the diameter of the basketball is 9.2 inches, the radius (r) would be half of the diameter, so r = 9.2/2 = 4.6 inches.

Plugging in the value of the radius into the formula, we get:
Surface Area = 4 * 3.14 * (4.6)^2

Simplifying the expression:
Surface Area = 4 * 3.14 * 21.16

Surface Area ≈ 265.75

Rounded to the nearest hundredth, the surface area of the basketball would be 265.77 in.2. Therefore, the correct option is:
265.77 in.2