Answer number 4-5 with a full solution. Solve the following.1. Water flows into a vertical cylindrical tank at 12 ft3/min, the surface rises 6 in/min. Find the radius ofthe tank.2. A triangular trough is 10 ft long, 6 ft wide across the top, and 3 ft deep. If water flows in at the rate of12 ft3/min, find how fast the surface is rising when the water is 6 in deep.3. If y = x3 and x increases at the rate of 3 units per second, how fast is the slope of the graph changingwhen x = 5?4. Water flowing in a conical tank 20 ft deep and 10across the top at the rate of 15 cu. ft/ min. Findhow fast the surface is rising when the water is 8 ft deep.5. Water flows into a conical tank at the rate of 6 cubic meters per second. The radius of the cone is 2 mand its height is 4 m. find dh/dt when water is filled to a height h = 2m.

Answered: Image /qna-images/answer/bedfb1ec-5be2-44bd-8215-231de0284dd7.jpg

Answered: 4. Water flowing in a conical tank 20…

4. Water flowing in a conical tank 20 ft deep and 10 ft across the top at the rate of 15 cu. ft/ min. Find how fast the surface is rising when the water is 8 ft deep.

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter47: Applications Of Formulas To Cutting Speed, Revolutions Per Minute, And Cutting Time

Section: Chapter Questions

Problem 44A: Compute the following problems. Express the answers to 1 decimal place. Use: T=LFN Seven brass...

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Question

Answer number 4-5 with a full solution.

Solve the following.
1. Water flows into a vertical cylindrical tank at 12 ft3/min, the surface rises 6 in/min. Find the radius of
the tank.
2. A triangular trough is 10 ft long, 6 ft wide across the top, and 3 ft deep. If water flows in at the rate of
12 ft3/min, find how fast the surface is rising when the water is 6 in deep.
3. If y = x3 and x increases at the rate of 3 units per second, how fast is the slope of the graph changing
when x = 5?
4. Water flowing in a conical tank 20 ft deep and 10
across the top at the rate of 15 cu. ft/ min. Find
how fast the surface is rising when the water is 8 ft deep.
5. Water flows into a conical tank at the rate of 6 cubic meters per second. The radius of the cone is 2 m
and its height is 4 m. find dh/dt when water is filled to a height h = 2m.

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