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.

A. 265.77 in.^2
B. 1,063.08 in.^
C. 84.64 in.^2
D. 66.44 in.^2

Answer 1

The formula for the surface area of a sphere is given by:

Surface Area = 4πr^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:

r = 9.2 / 2 = 4.6 inches

Now we can substitute this value into the formula:

Surface Area = 4π(4.6)^2
= 4π(21.16)
= 84.64π

Using the value of π as 3.14, we can calculate the approximate surface area:

Surface Area ≈ 84.64 * 3.14
≈ 265.77 in.^2

Rounding this answer to the nearest hundredth, we get:

Surface Area ≈ 265.77 in.^2

Therefore, the answer is A. 265.77 in.^2