cet flushes water at a constant rate of 5 liters per minute into the barrel. If at the beginning the barrel is empty, its height equal to a = 2, meters and it takes 20 minutes to fill. a) Draw the graph of the volume V of water (in liters) in the tank from the beginning until the tank is full. b) Draw the graph of the water level h (in

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question

A faucet flushes water at a constant rate of 5 liters per minute into the barrel. If at the beginning the barrel is empty, its height equal to a = 2, meters and it takes 20 minutes to fill.
a) Draw the graph of the volume V of water (in liters) in the tank from the beginning until the tank is full.
b) Draw the graph of the water level h (in meters), from the beginning until the tank is filled.

Expert Solution
Step 1

The volume of a cylinder:

The volume of a cylinder is its capacity, which is used to calculate how much material it can carry. A specific volume of a cylinder formula is used in geometry to determine how much of any quantity, liquid or solid, may be immersed in it uniformly. A cylinder is a three-dimensional form having two identical bases that are congruent and parallel.

The formula of the volume of the cylinder:

V=πr2hwhere r is the radius of the cylinder and h is the height of the cylinder.

steps

Step by step

Solved in 4 steps with 2 images

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
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…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,