A standard basketball has a diameter of 9 9/16 inches (that is 9 inches and 9/16 of an inch). What sit he volume of air in the basketball?
V = 4/3 * pi * r^3
V = 4/3 * 3.14 * 4.78125^3
V = 4/3 * 3.14 * 22.860351
V = ?
You use the V = 4/3 x pi x r^3 to solve it. Plug in you numbers and then solve for V.
Yes use the volume of a sphere
To find the volume of air in the basketball, we can use the formula for the volume of a sphere:
V = (4/3) * π * r^3
However, the given diameter of the basketball is 9 9/16 inches. We need to convert this to the radius (r) in order to calculate the volume.
To find the radius, we divide the diameter by 2:
9 9/16 / 2
To simplify the calculation, we can convert 9 inches to a fraction:
9 inches = 9 * 16/16 = 144/16 inches
So, the diameter in fraction form is 144/16 inches.
Now, we add the 9/16 inches:
(144/16 + 9/16) inches
The sum is 153/16 inches.
To convert this mixed fraction into a single fraction, we multiply the whole number (9) by the denominator (16), and then add the numerator (9):
9 * 16 + 9 = 153.
So, the diameter in fraction form is 153/16 inches.
Now, we can find the radius by dividing the diameter by 2:
(153/16) / 2 = 153/32 inches.
Now that we have the radius, we can substitute it into the volume formula:
V = (4/3) * π * (153/32)^3
Calculating this expression will give us the volume of air in the basketball.