A tank, shaped like a cone has height 4 meter and base radius 5 meter. It is placed so that the circular part is upward. It is full of water, and we have to pump it all out by a pipe that is always leveled at the surface of the water. Assume that a cubic meter of water weighs 10000N, i.e. the density of water is a 10000- How much work does it require to pump all water out of the tank? Enter the exact value of your answer. N m³ W Joules
A tank, shaped like a cone has height 4 meter and base radius 5 meter. It is placed so that the circular part is upward. It is full of water, and we have to pump it all out by a pipe that is always leveled at the surface of the water. Assume that a cubic meter of water weighs 10000N, i.e. the density of water is a 10000- How much work does it require to pump all water out of the tank? Enter the exact value of your answer. N m³ W Joules
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
100%
![A tank, shaped like a cone, has a height of 4 meters and a base radius of 5 meters. It is positioned so that the circular opening faces upward. The tank is filled with water, which needs to be pumped out through a pipe that is kept at the water's surface.
Assume the weight of a cubic meter of water is 10,000 Newtons, implying the density of water is \( 10,000 \, \frac{N}{m^3} \).
Calculate the work required to pump all the water out of the tank. Provide the exact value of your answer.
\[ W = \boxed{} \] Joules
**Diagram Explanation:**
The diagram shows a conical tank filled with water. The cone has a height labeled as 4 meters, and the widest circular opening has a radius of 5 meters, with the water filling the entire cone.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3aff424b-0e96-4e90-b1d6-dc40303839e0%2Fe9768e13-2d87-4fae-a7e8-c28eb73b3875%2Ftfx03uz_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A tank, shaped like a cone, has a height of 4 meters and a base radius of 5 meters. It is positioned so that the circular opening faces upward. The tank is filled with water, which needs to be pumped out through a pipe that is kept at the water's surface.
Assume the weight of a cubic meter of water is 10,000 Newtons, implying the density of water is \( 10,000 \, \frac{N}{m^3} \).
Calculate the work required to pump all the water out of the tank. Provide the exact value of your answer.
\[ W = \boxed{} \] Joules
**Diagram Explanation:**
The diagram shows a conical tank filled with water. The cone has a height labeled as 4 meters, and the widest circular opening has a radius of 5 meters, with the water filling the entire cone.
Expert Solution
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 3 images
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
