To find the volume of the basketball, we need to use the formula for the volume of a sphere, which is V = (4/3)πr^3.
First, we need to convert the diameter of the basketball (9 inches) to the radius (4.5 inches).
Plugging the radius into the formula:
V = (4/3)(3.14)(4.5^3)
V = (4/3)(3.14)(91.125)
V = 381.48 in^3
Therefore, the amount of air needed to fill the basketball is approximately 381.5 in^3.
The closest answer is 381.5 inches cubed.
Use the formula for the volume of a sphere to solve the following problem. How much air is needed to fill a basketball with a diameter of 9 inches? Use 3.14 as an approximation for pi. Round your answer to the nearest tenth. (1 point) Responses 113 in.^3 113 inches cubed 3,052.1 in.^3 3,052.1 inches cubed 381.5 in.^3 381.5 inches cubed 190.8 in.^3
1 answer