Use the formula for the surface area of a sphere to find the surface area if a basketball that had a diameter of 9.2 inches use 3.14 for pi and round your answer to the nearest hundreth if necessary
The formula for the surface area of a sphere is given by:
Surface Area = 4 * π * r^2
where r is the radius of the sphere, and π (pi) is approximately 3.14.
First, we need to find the radius of the basketball. The diameter of the basketball is 9.2 inches, so the radius is half the diameter:
Radius (r) = Diameter / 2 = 9.2 inches / 2 = 4.6 inches
Now we can plug this into the formula for the surface area:
Surface Area = 4 * π * (4.6 inches)^2
Let's calculate it step by step:
1. Radius squared: (4.6 inches)^2 = 21.16 square inches
2. Multiply by π: 3.14 * 21.16 square inches = 66.4424 square inches
3. Multiply by 4: 4 * 66.4424 square inches = 265.7696 square inches
Therefore, the surface area of the basketball is approximately 265.77 square inches (rounded to the nearest hundredth).