Find the radius of a sphere with a volume of 33.5 m^3
To find the radius of a sphere, we can use the formula for the volume of a sphere:
V = (4/3)πr^3
Given that the volume (V) is 33.5 m^3, we can rearrange the formula to solve for the radius (r):
r^3 = (3/4π)V
r = (3V / (4π))^(1/3)
Substituting V = 33.5 m^3:
r = (3 * 33.5 / (4π))^(1/3)
Using the value of π as approximately 3.14159 and calculating the expression, we find:
r ≈ (3 * 33.5 / (4 * 3.14159))^(1/3)
r ≈ (100.5 / 12.5664)^(1/3)
r ≈ 2.879 m
Therefore, the radius of the given sphere with a volume of 33.5 m^3 is approximately 2.879 meters.