The cirucumference of a ballon is 75 inches and the diameter is 12 inches what is the volume?
The cirucumference of a ballon is 75 inches and the diameter is 12 inches what is the volume?
volume = 4/3 π r3
V = (4/3) * 3.14 * 6^3
V = (4/3) * 3.14 * 216
V = (4/3) * 678.24
V = ?
To find the volume of a balloon, you can use the formula for the volume of a sphere. The formula is:
V = (4/3) * π * r³
Where V represents the volume and r represents the radius of the sphere.
To find the radius, you can use the fact that the diameter is twice the radius:
d = 2 * r
Given that the diameter is 12 inches, we can rearrange the formula to solve for the radius:
r = d / 2
So, substituting the given diameter into the equation:
r = 12 / 2
r = 6 inches
Now we can calculate the volume using the formula:
V = (4/3) * π * (6³)
Calculating this expression gives us:
V = (4/3) * π * (216)
V ≈ 904.777919 square inches
Therefore, the volume of the balloon is approximately 904.78 cubic inches.