SOLUTION: A crystal ball with a diameter of 6 inches is being packaged for shipment. If the crystal ball is placed inside a circular cylinder with radius 3 inches and height 6 inches, how mu
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Question 1007619: A crystal ball with a diameter of 6 inches is being packaged for shipment. If the crystal ball is placed inside a circular cylinder with radius 3 inches and height 6 inches, how much volume will need to be filled with padding? (The volume of a sphere with radius r is 43πr3, and the volume of a right circular cylinder with radius r and height is πr2h.) Use "pi" for π.
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
The volume of padding is the volume of the cylinder minus the volume of the sphere...so (remember radius is half the diameter)...
V = (pi)r^2*h - (4/3)(pi)r^3
V = (pi)(3^2)(6) - (4/3)(pi)(3^3)
V = 54(pi) - 36(pi)
V = 18(pi) cubic inches
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