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

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.3: Cylinders And Cones
Problem 47E: Richard has a fuel tank in the shape of a right circular cylinder. The tank has a height of 6 ft and...
Question
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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