Homework Help is Here – Start Your Trial Now!
Math
Calculus
1. Water is flowing into a vertical cylindrical tank at the rate of 24 ft3/min. If the radius of the tank is 4 ft, how fast is the surface rising? * A. 0.45 ft/min. O B. 0.456 ft/min. C. 0.477 ft/min. O D. 0.475 ft/min.

1. Water is flowing into a vertical cylindrical tank at the rate of 24 ft3/min. If the radius of the tank is 4 ft, how fast is the surface rising? * A. 0.45 ft/min. O B. 0.456 ft/min. C. 0.477 ft/min. O D. 0.475 ft/min.

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 54AR: Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places...
See similar textbooks
icon
Related questions
Question
1. Water is flowing into a vertical cylindrical tank at the rate of 24 ft3/min. If the radius of the tank is 4 ft, how fast is the surface rising? A. 0.45 ft/min. B. 0.456 ft/min. C. 0.477 ft/min. D. 0.475 ft/min. 2. A rectangular trough is 10 ft long and 3 ft wide. Find how fast the surface rises, if water flows in at the rate of 12 ft3/min. A. 0.35 ft/min. B. 0.42 ft/min. C. 0.45 ft/min. D. 0.4 ft/min. 3. A ladder 20 ft long leans against a vertical wall. If the top slides downward at the rate of 2 ft/sec, find how fast the lower end is moving when it is 16 ft from the wall. * A. 1.5 ft/sec. B. 1.35 ft/sec. C. 1.4 ft/sec. D. 1.45 ft/sec.
Transcribed Image Text:1. Water is flowing into a vertical cylindrical tank at the rate of 24 ft3/min. If the radius of the tank is 4 ft, how fast is the surface rising? A. 0.45 ft/min. B. 0.456 ft/min. C. 0.477 ft/min. D. 0.475 ft/min. 2. A rectangular trough is 10 ft long and 3 ft wide. Find how fast the surface rises, if water flows in at the rate of 12 ft3/min. A. 0.35 ft/min. B. 0.42 ft/min. C. 0.45 ft/min. D. 0.4 ft/min. 3. A ladder 20 ft long leans against a vertical wall. If the top slides downward at the rate of 2 ft/sec, find how fast the lower end is moving when it is 16 ft from the wall. * A. 1.5 ft/sec. B. 1.35 ft/sec. C. 1.4 ft/sec. D. 1.45 ft/sec.
4. A man 6 ft tall walks away from a lamp post 16 ft high at the rate of 5 miles per hour. How fast does the end of his shadow move? * O A. 7.5 mi/hr. B. 8 mi/hr. C. 8.5 mi/hr. O D. 7.0 mi/hr. 5. A boy on a bike rides north 5 mi, then turns east. If he rides 10 mi/hr, at what rate does his distance to the starting point S changing 2 hour after he left that point? * O A. 3 (10^.5) mi/hr. B. 2(10^.5) mi/hr. C. 2.5 (10^.5) mi/hr. D. 3.5(10^.5) mi/hr.
Transcribed Image Text:4. A man 6 ft tall walks away from a lamp post 16 ft high at the rate of 5 miles per hour. How fast does the end of his shadow move? * O A. 7.5 mi/hr. B. 8 mi/hr. C. 8.5 mi/hr. O D. 7.0 mi/hr. 5. A boy on a bike rides north 5 mi, then turns east. If he rides 10 mi/hr, at what rate does his distance to the starting point S changing 2 hour after he left that point? * O A. 3 (10^.5) mi/hr. B. 2(10^.5) mi/hr. C. 2.5 (10^.5) mi/hr. D. 3.5(10^.5) mi/hr.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Chain Rule
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Geometry for College Students
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS