
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
expand_more
expand_more
format_list_bulleted
Question
please answer 3, 4 and 5. for question 3 please solve for c aswell. and for question 4 you need to use the equation from question 3

Transcribed Image Text:Due to an excessive amount of rain, the village water storage tank is filling at a rate
of 600m (6+4t) litres a day (t≥ 0). The mayor is planning to evacuate the village before
the water storage tank overflows, flooding the valley.
The amount of water currently in the water storage tank is 17,894, 400 litres and
the mayor wants to know how many days it will take for the water storage tank to be
completely full.
The water storage tank is a large cylinder which is 20 metres high and has a radius
of 30 meters.
You can assume that the villagers are not using any of the water storage water and
there is no water loss through evaporation.
(1) Give the volume of a cylinder.
(2) What is the maximum capacity of the water storage tank in litres? (Hint: 1000
litres 1 cubic metre)
(3) Find the function that gives the number of litres in the water storage tank at
time t days.
(4) The village mayor wants to have the town evacuated before the water storage
tank is full. At what time t would the water storage tank be full?
(5) The mayor estimates that it will take 3 days to evacuate the village. When do
you recommend that the evacuation begins and why?
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by stepSolved in 3 steps

Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question
please answer question 5
Solution
by Bartleby Expert
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question
please answer question 5
Solution
by Bartleby Expert
Knowledge Booster
Similar questions
Recommended textbooks for you
- Advanced Engineering MathematicsAdvanced MathISBN:9780470458365Author:Erwin KreyszigPublisher:Wiley, John & Sons, IncorporatedNumerical Methods for EngineersAdvanced MathISBN:9780073397924Author:Steven C. Chapra Dr., Raymond P. CanalePublisher:McGraw-Hill EducationIntroductory Mathematics for Engineering Applicat...Advanced MathISBN:9781118141809Author:Nathan KlingbeilPublisher:WILEY
- Mathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,

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,

