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1. Designing a Trough The trough in the figure below is to be made to the dimensions shown. Only the angle 0 can be varied. What value of 0 will maximize the trough's volume? 0.3 m 80.3 m K0.3 m→ 6 m a) Write a formula V(6) for the capacity (volume) of the trough. b) Find the domain of V for this problem c) What value of 9 will maximize the trough's volume?

1. Designing a Trough The trough in the figure below is to be made to the dimensions shown. Only the angle 0 can be varied. What value of 0 will maximize the trough's volume? 0.3 m 80.3 m K0.3 m→ 6 m a) Write a formula V(6) for the capacity (volume) of the trough. b) Find the domain of V for this problem c) What value of 9 will maximize the trough's volume?

Elementary Geometry For College Students, 7e
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 7E: The tin can shown at the right has the indicated dimensions. Estimate the number of square inches of...
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1. Designing a Trough The trough in the figure below is to be made to the dimensions shown. Only the angle 0 can be varied. What value of 0 will maximize the trough's volume? 0.3 m 8/0.3 m k0.3 m→ 6 m a) Write a formula V(Ø) for the capacity (volume) of the trough. b) Find the domain of V for this problem c) What value of 0 will maximize the trough's volume?
Transcribed Image Text:1. Designing a Trough The trough in the figure below is to be made to the dimensions shown. Only the angle 0 can be varied. What value of 0 will maximize the trough's volume? 0.3 m 8/0.3 m k0.3 m→ 6 m a) Write a formula V(Ø) for the capacity (volume) of the trough. b) Find the domain of V for this problem c) What value of 0 will maximize the trough's volume?
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