A trough in the shape of a half cylinder has a length of 5 m and a radius of 1 m. The trough is full of water when a valve is opened, and water flows out of the bottom of the trough changing its volume. 5m. a) Identify the dependent and independent variables. b) Write a formula V(x) for the volume of the trough, where x is the level of the water measured from the bottom of the trough. (Hint: the area of a sector of a circle or radius r subtended by an angle 0 is 20/2) c) Find the domain of V according to the context of the problem given. d) Find the range of V according to the context of the problem given.

A trough in the shape of a half cylinder has a length of 5 m and a radius of 1 m. The trough is full of water when a valve is opened, and water flows out of the bottom of the trough changing its volume. 5m. a) Identify the dependent and independent variables. b) Write a formula V(x) for the volume of the trough, where x is the level of the water measured from the bottom of the trough. (Hint: the area of a sector of a circle or radius r subtended by an angle 0 is 20/2) c) Find the domain of V according to the context of the problem given. d) Find the range of V according to the context of the problem given.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

ChapterA: Appendix

SectionA.2: Geometric Constructions

Problem 9P: A soda can is made from 40 square inches of aluminum. Let x denote the radius of the top of the can,...

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