Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
A tank pe of an inverted cone (with the point at the bottom). The cone has a diameter of 6 m and a height of 4 m, and it is completely full of water. We're going to calculate the work needed to pump all of the water out over the side of the tank. Assume that acceleration due to gravity is 9.8 m/s², and the density of water is 1000 kg/m³. (a) Draw a picture of the conical tank. We're going to "slice" the water horizontally. Draw one such horizontal slice on your picture.

A tank pe of an inverted cone (with the point at the bottom). The cone has a diameter of 6 m and a height of 4 m, and it is completely full of water. We're going to calculate the work needed to pump all of the water out over the side of the tank. Assume that acceleration due to gravity is 9.8 m/s², and the density of water is 1000 kg/m³. (a) Draw a picture of the conical tank. We're going to "slice" the water horizontally. Draw one such horizontal slice on your picture.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.4: Applications
Problem 8EQ
See similar textbooks
icon
Related questions
Question
100%
A tank full of water has the shape of an inverted cone (with the point at the bottom). The cone has a diameter of 6 m and a height of 4 m, and it is completely full of water. We're going to calculate the work needed to pump all of the water out over the side of the tank. Assume that acceleration due to gravity is 9.8 m/s2, and the density of water is 1000 kg/m³. (a) Draw a picture of the conical tank. We're going to "slice" the water horizontally. Draw one such horizontal slice on your picture. que sexood sds all (b) Calculate the volume of your horizontal slice, then calculate the mass of your slice, the force needed to lift it, and the work needed to lift it all the way to the top. Volume of slice = tot base a Mass of slice = Force to lift slice = Distance to lift slice = Work to lift slice to top = 90-120 (c) Use a definite integral to calculate the total work needed to pump all of the water out over the side of the tank.
Transcribed Image Text:A tank full of water has the shape of an inverted cone (with the point at the bottom). The cone has a diameter of 6 m and a height of 4 m, and it is completely full of water. We're going to calculate the work needed to pump all of the water out over the side of the tank. Assume that acceleration due to gravity is 9.8 m/s2, and the density of water is 1000 kg/m³. (a) Draw a picture of the conical tank. We're going to "slice" the water horizontally. Draw one such horizontal slice on your picture. que sexood sds all (b) Calculate the volume of your horizontal slice, then calculate the mass of your slice, the force needed to lift it, and the work needed to lift it all the way to the top. Volume of slice = tot base a Mass of slice = Force to lift slice = Distance to lift slice = Work to lift slice to top = 90-120 (c) Use a definite integral to calculate the total work needed to pump all of the water out over the side of the tank.
Expert Solution
steps

Step by step

Solved in 5 steps with 8 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
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,
SEE MORE TEXTBOOKS