The formula for the volume of a sphere is V = (4/3)πr³, where V is the volume and r is the radius.
To find the radius of the basketball, divide the diameter by 2:
radius = 9 inches / 2 = 4.5 inches
Using the formula for the volume of a sphere:
V = (4/3)π(4.5 inches)³
V ≈ (4/3)(3.14)(91.125 in³)
V ≈ 381.5 in³
Therefore, the amount of air needed to fill the basketball is approximately 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
381.5 in.3
381.5 inches cubed
190.8 in.3
190.8 inches cubed
3,052.1 in.3
1 answer
1 answer