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
To find the volume of a sphere (and thus the amount of air needed to fill it), we use the formula:
V = (4/3) * pi * r^3,
where V is the volume and r is the radius of the sphere. Here, we have the diameter given, so we'll first divide it by 2 to get the radius:
radius = diameter / 2 = 9 inches / 2 = 4.5 inches.
Now we can use the formula to find the volume:
V = (4/3) * 3.14 * (4.5 inches)^3.
V = (4/3) * 3.14 * (91.125 inches^3) = 121.725 inches^3.
Rounding to the nearest tenth, the amount of air needed to fill the basketball is approximately 121.7 inches^3.