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14 > A plane inclined at an angle of 45 passes through a diameter of the base of a cylinder of radius r. Write an

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14 > A plane inclined at an angle of 45" passes through a diameter of the base of a cylinder of radius r. Write an expression for the volume I of the region within the cylinder and below the plane in terms of r. (Express numbers in exact form. Use symbolic notation and fractions where needed.) V(r) = Calculate the volume of the region within the cylinder and below the plane for r = 7. (Express numbers in exact form. Use symbolic notation and fractions where needed.)

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