3. Using Monte Carlo Method, estimate the volume of the unit sphere: 2 + 2 + 2 = 1, > 0, > 0, > 0 by following method outlined in lecture note 6.

3. Using Monte Carlo Method, estimate the volume of the unit sphere: x2 + y2 + z2 = 1, x>0, y > 0, Z> 0 by following method outlined in lecture note 6. Note: When you generate positive random numbers (between 0 and 1) for x, y, z, the predicted volume must be multiplied by 8 to cover the entire 3D space of the sphere. Your code should look like this: //include libraries as required #include #define PI 3.1415926535 int main() float x, y, z; int i, n, counter=0; printf("Enter # of trials = "); //Accept input from keyboard srand(time (NULL)); for (i=0;i<>