1. Water is poured into conical container at the rate of 10 cm /sec. The cone points directly down and it has a height of 30 cm. and a base radius of 10 cm. How fast is the water level rising when the water is 4 cm. deep? 2. A person 2-meter tall walks towards a lamppost on level ground at a rate of 0.5 m/sec. The lamp on the post is 5 meter high. How fast is the length of the person's shadow decreasing when the person is 3 m. from the post?
1. Water is poured into conical container at the rate of 10 cm /sec. The cone points directly down and it has a height of 30 cm. and a base radius of 10 cm. How fast is the water level rising when the water is 4 cm. deep? 2. A person 2-meter tall walks towards a lamppost on level ground at a rate of 0.5 m/sec. The lamp on the post is 5 meter high. How fast is the length of the person's shadow decreasing when the person is 3 m. from the post?
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
Related questions
Question
1 and 2
![1. Water is poured into conical container at the rate of 10
cm /sec. The cone points directly down and it has a height of 30
cm. and a base radius of 10 cm. How fast is the water level rising
when the water is 4 cm. deep?
2. A person 2-meter tall walks towards a lamppost
on level ground at a rate of 0.5 m/sec. The lamp on the
post is 5 meter high. How fast is the length of the
person's shadow decreasing when the person is 3 m.
from the post?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F142aef10-d809-461d-933f-10598f1df37b%2Faa740c6d-647a-40ee-a497-2335543432d4%2Fl3fdp39_processed.png&w=3840&q=75)
Transcribed Image Text:1. Water is poured into conical container at the rate of 10
cm /sec. The cone points directly down and it has a height of 30
cm. and a base radius of 10 cm. How fast is the water level rising
when the water is 4 cm. deep?
2. A person 2-meter tall walks towards a lamppost
on level ground at a rate of 0.5 m/sec. The lamp on the
post is 5 meter high. How fast is the length of the
person's shadow decreasing when the person is 3 m.
from the post?
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps with 1 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Recommended textbooks for you
![Elements Of Electromagnetics](https://www.bartleby.com/isbn_cover_images/9780190698614/9780190698614_smallCoverImage.gif)
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
![Mechanics of Materials (10th Edition)](https://www.bartleby.com/isbn_cover_images/9780134319650/9780134319650_smallCoverImage.gif)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
![Thermodynamics: An Engineering Approach](https://www.bartleby.com/isbn_cover_images/9781259822674/9781259822674_smallCoverImage.gif)
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
![Elements Of Electromagnetics](https://www.bartleby.com/isbn_cover_images/9780190698614/9780190698614_smallCoverImage.gif)
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
![Mechanics of Materials (10th Edition)](https://www.bartleby.com/isbn_cover_images/9780134319650/9780134319650_smallCoverImage.gif)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
![Thermodynamics: An Engineering Approach](https://www.bartleby.com/isbn_cover_images/9781259822674/9781259822674_smallCoverImage.gif)
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
![Control Systems Engineering](https://www.bartleby.com/isbn_cover_images/9781118170519/9781118170519_smallCoverImage.gif)
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
![Mechanics of Materials (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781337093347/9781337093347_smallCoverImage.gif)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
![Engineering Mechanics: Statics](https://www.bartleby.com/isbn_cover_images/9781118807330/9781118807330_smallCoverImage.gif)
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY