The circumference of the ball of string is 415ft and it weighs 13,0000Ib.
Which is the best approximation of the volume of the ball of string?
F.300FT^3
G.600FT^3
H.1200FT^3
I.2400FT^3
To approximate the volume of the ball of string, we need to use the given information about its circumference. First, let's find the radius of the ball of string by using the formula for the circumference of a sphere:
C = 2 * π * r
Where C is the circumference and r is the radius of the sphere.
Rearranging the formula to solve for r:
r = C / (2 * π)
Given that the circumference is 415ft, we can substitute this value into the formula:
r = 415 / (2 * π)
Now, let's calculate the radius:
r ≈ 66.04 ft
Next, we can use the formula for the volume of a sphere to find an approximation of the volume:
V = (4/3) * π * r^3
Substituting the calculated radius into the formula:
V ≈ (4/3) * π * (66.04^3)
Now, let's calculate the volume of the ball of string:
V ≈ (4/3) * π * (287,474.8)
V ≈ 1,204,128 FT^3
Out of the given options, the closest approximation to the volume of the ball of string is H. 1200FT^3.