Final answer:
The radius of the sphere is approximately 2.83 meters.
Step-by-step explanation:
To find the radius of the sphere, we need to set up an equation equating the volume of the sphere to the volume of the cube. The formula for the volume of a sphere is V = (4/3)πr^3, and the formula for the volume of a cube is V = s^3, where 'r' is the radius of the sphere and 's' is the length of one edge of the cube.
Given that the length of one edge of the cube is 5.39 meters, we can substitute this value into the formula for the volume of the cube: V = (5.39)^3 = 157.464. Now we can set up the equation: (4/3)πr^3 = 157.464.
Solving for 'r', we can divide both sides of the equation by (4/3)π and then take the cube root: r = (∛157.464/(4/3)π) ≈ 2.83 meters.
Learn more about finding the radius of a sphere given equal volumes with a cube