Final answer:
To find the total volume of air inside one-sixth of Jake's basketball, we use the formula for the volume of a sphere. The radius of the basketball is found by converting the diameter to centimeters. The total volume is then divided by 6 to find the volume of one-sixth of the basketball.
Step-by-step explanation:
To find the total volume of air inside one-sixth of Jake's basketball, we first need to find the radius of the basketball. The basketball has a diameter of 8.8 inches, so its radius is half of that, which is 4.4 inches. To convert inches to centimeters, multiply the inches by 2.54. So, the radius of the basketball is approximately 11.18 cm.
We know that the volume of a sphere is given by the formula V = (4/3)πr^3, where V is the volume and r is the radius. Plugging in the values, we get V = (4/3)π * (11.18 cm)^3. Simplifying this, we get V ≈ 7,959.42 cm^3.
Since we want to find the volume of one-sixth of the basketball, we divide the total volume by 6. So, the total volume of air inside one-sixth of Jake's basketball is approximately 1,326.57 cm^3.