Water is flowing into a conical cistern at the rate of 8 m³/min. If the height of the nverted cone is 12 m and the radius of its circular opening is 6 m. How fast is the water level rising when the water is 4 m deep? A. 0.64 m/min B. 0.56 m/min C. 0.75 m/min D. 0.45 m/min
Water is flowing into a conical cistern at the rate of 8 m³/min. If the height of the nverted cone is 12 m and the radius of its circular opening is 6 m. How fast is the water level rising when the water is 4 m deep? A. 0.64 m/min B. 0.56 m/min C. 0.75 m/min D. 0.45 m/min
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Related questions
Question
![An LRT train 6 m above the ground
crosses a street at 9 m/s at the instant that
a car approaching at a speed of 4 m/s is
12 m up the street. Find the rate of the
LRT train and the car separating one
second later.
A.
3.64 m/s
B. 3.94 m/s
C. 4.24 m/s
D. 4.46 m/s
Water is flowing into a conical cistern at
the rate of 8 m³/min. If the height of the
inverted cone is 12 m and the radius of its
circular opening is 6 m. How fast is the
water level rising when the water is 4 m
deep?
A. 0.64 m/min
B. 0.56 m/min
C. 0.75 m/min
D. 0.45 m/min
Water is pouring into a conical vessel 15
cm deep and having a radius of 3.75 cm
across the top. If the rate at which the
water rises is 2 cm/sec, how fast is the
water flowing into the conical vessel when
the water is 4 cm deep?
A. 2.37 m³/sec
B.
5.73 m³/sec
C.
6.28 m³/sec
D.
4.57 m³/sec](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3acc4e6e-4ebd-4376-b0ae-e38ac1b979db%2F8506a8b5-17db-4527-84cc-56052ee96da3%2Fwpoa8za_processed.png&w=3840&q=75)
Transcribed Image Text:An LRT train 6 m above the ground
crosses a street at 9 m/s at the instant that
a car approaching at a speed of 4 m/s is
12 m up the street. Find the rate of the
LRT train and the car separating one
second later.
A.
3.64 m/s
B. 3.94 m/s
C. 4.24 m/s
D. 4.46 m/s
Water is flowing into a conical cistern at
the rate of 8 m³/min. If the height of the
inverted cone is 12 m and the radius of its
circular opening is 6 m. How fast is the
water level rising when the water is 4 m
deep?
A. 0.64 m/min
B. 0.56 m/min
C. 0.75 m/min
D. 0.45 m/min
Water is pouring into a conical vessel 15
cm deep and having a radius of 3.75 cm
across the top. If the rate at which the
water rises is 2 cm/sec, how fast is the
water flowing into the conical vessel when
the water is 4 cm deep?
A. 2.37 m³/sec
B.
5.73 m³/sec
C.
6.28 m³/sec
D.
4.57 m³/sec
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 3 steps with 2 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![Calculus: Early Transcendentals](https://www.bartleby.com/isbn_cover_images/9781285741550/9781285741550_smallCoverImage.gif)
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
![Thomas' Calculus (14th Edition)](https://www.bartleby.com/isbn_cover_images/9780134438986/9780134438986_smallCoverImage.gif)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
![Calculus: Early Transcendentals (3rd Edition)](https://www.bartleby.com/isbn_cover_images/9780134763644/9780134763644_smallCoverImage.gif)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
![Calculus: Early Transcendentals](https://www.bartleby.com/isbn_cover_images/9781285741550/9781285741550_smallCoverImage.gif)
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
![Thomas' Calculus (14th Edition)](https://www.bartleby.com/isbn_cover_images/9780134438986/9780134438986_smallCoverImage.gif)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
![Calculus: Early Transcendentals (3rd Edition)](https://www.bartleby.com/isbn_cover_images/9780134763644/9780134763644_smallCoverImage.gif)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
![Calculus: Early Transcendentals](https://www.bartleby.com/isbn_cover_images/9781319050740/9781319050740_smallCoverImage.gif)
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
![Precalculus](https://www.bartleby.com/isbn_cover_images/9780135189405/9780135189405_smallCoverImage.gif)
![Calculus: Early Transcendental Functions](https://www.bartleby.com/isbn_cover_images/9781337552516/9781337552516_smallCoverImage.gif)
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning