Water is pouring into an inverted cone at the rate of 12 cubic meters per minute. If the height of the cone is 16 meters and the radius of its base is 4 meters, how fast is the water level rising when the water is 3-meter deep in m/min? (Answer must be round off in 3 decimal places ) Answer:

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter65: Achievement Review—section Six
Section: Chapter Questions
Problem 48AR: Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places...
icon
Related questions
icon
Concept explainers
Topic Video
Question

Answer the word problems with complete solutions.

Water is pouring into an inverted cone at the rate of 12 cubic meters per minute. If the height
of the cone is 16 meters and the radius of its base is 4 meters, how fast is the water level rising
when the water is 3-meter deep in m/min? (Answer must be round off in 3 decimal places )
Answer:
A ladder 17 meters long is leaning against a wall. If the bottom of the ladder is being pushed
horizontally towards the wall at 3 m/s, how fast is the top of the ladder moving when the
bottom is 8 meters from the wall in m/s?
Answer:
Transcribed Image Text:Water is pouring into an inverted cone at the rate of 12 cubic meters per minute. If the height of the cone is 16 meters and the radius of its base is 4 meters, how fast is the water level rising when the water is 3-meter deep in m/min? (Answer must be round off in 3 decimal places ) Answer: A ladder 17 meters long is leaning against a wall. If the bottom of the ladder is being pushed horizontally towards the wall at 3 m/s, how fast is the top of the ladder moving when the bottom is 8 meters from the wall in m/s? Answer:
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Application of Algebra
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,
Elementary Geometry for College Students
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning