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9. A cylinder is inscribed in a sphere of radius a. Find the maximum volume.

9. A cylinder is inscribed in a sphere of radius a. Find the maximum volume.

Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter65: Achievement Review—section Six
Section: Chapter Questions
Problem 42AR: Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places...
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8. A street light hangs 24 ft. above the sidewalk. If a man 6 ft. tall walks away from the light at the rate of 3 ft./sec, how fast is the tip of his shadow moving? 9. A cylinder is inscribed in a sphere of radius a. Find the maximum volume. 10. An airplane is moving horizontally at 150 mph over an observer at a height of 4,000 ft. How fast is the angle between the vertical line and the line of sight from the observer to the plane changing?
Transcribed Image Text:8. A street light hangs 24 ft. above the sidewalk. If a man 6 ft. tall walks away from the light at the rate of 3 ft./sec, how fast is the tip of his shadow moving? 9. A cylinder is inscribed in a sphere of radius a. Find the maximum volume. 10. An airplane is moving horizontally at 150 mph over an observer at a height of 4,000 ft. How fast is the angle between the vertical line and the line of sight from the observer to the plane changing?
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