Use the formula for the surface area of a sphere to find the surface area of a basket ball that has a diameter of 9.2 in use 3.14 pi and round your answer to the nearest hundredth if necessary
The formula for the surface area of a sphere is given by:
Surface Area = 4πr²
where r is the radius of the sphere. In this case, we have a basketball with a diameter of 9.2 inches, so the radius (r) is half of the diameter:
r = 9.2 / 2 = 4.6 inches
Substituting this value into the formula, we can calculate the surface area:
Surface Area = 4π(4.6)²
= 4π(21.16)
= 84.64π
Now, since the value of π is approximately 3.14, we can calculate the surface area:
Surface Area ≈ 84.64 × 3.14
≈ 265.90
Therefore, the surface area of the basketball is approximately 265.90 square inches.