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(A)Find an Equation of the Largest Sphere That Can Fit

Question 13

Essay

(a)Find an equation of the largest sphere that can fit inside the cubical space enclosed by the planes x = 1, x = 5, y = 2, y = 6, z = 2 and z = 6.
(b)If we replace the plane z = 6 in part (a)with z = 7, what will be the new equation of the largest sphere?

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