A basketball can hold 33.5 inches cubed of air, what is the radius of the basketball?
5w62
To find the radius of the basketball, we need to use the formula for the volume of a sphere. The formula for calculating the volume of a sphere is:
V = (4/3) * π * r^3
Given that the basketball can hold 33.5 inches cubed of air, we can equate this value to the volume of the sphere:
33.5 = (4/3) * π * r^3
To solve for the radius (r), we can rearrange the equation:
r^3 = (3/4π) * 33.5
Now, we need to simplify the right-side of the equation and take the cube root to find the value of the radius (r). Let's do the calculations:
r^3 = (3/4π) * 33.5
r^3 = 2.6455
r ≈ ∛2.6455
Using a calculator or a math software, we can find the approximate value of r:
r ≈ 1.321 inches
Therefore, the radius of the basketball is approximately 1.321 inches.
4/3 πr^3 = 33.5
Now just solve for r.