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If possible please print the output as well Problem 4 50 It is known that the volume of a sphere is ;tMT3. Write a script
If possible please print the output as well
Problem 4 50 It is known that the volume of a sphere is ;tMT3. Write a script in whatever language you like that confirms this using the Monte Carlo method. Approach: Consider a sphere with radius r contained within a cube with d 2r x 2r) and center at (0,0,0). Any point within that cube would have coordinates q- 1,929s where glr. If that point is also within the sphere, it must satisfy: (2rx If you randomly generate a number of points within that cube (n) and determine how many also lie within the sphere (m), the ratio of the number of points that lie within the sphere to the total number of points (m) should be approximately equal to the ratio of the volume of the sphere to the volume of the cube 1n 8r3 In your code, accept inputs for the radius r and the number of points. Randomly generate coordinates for each point and determine how many of the points lie within the sphere. Use this count to approximate the volume of the sphere. Print to the screen the exact and approximate volu mesStep by Step Solution
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