My Math Forum  

Go Back   My Math Forum > High School Math Forum > Pre-Calculus

Pre-Calculus Pre-Calculus Math Forum


Reply
 
LinkBack Thread Tools Display Modes
February 10th, 2013, 01:35 AM   #1
Newbie
 
Joined: Jan 2013

Posts: 3
Thanks: 0

Help me with this question pretty please

Diagram shows a conical container of diameter 0.8m and height 0.4m. Water is poured into the container at a constant rate of p m^3 s^-1. Calculate the value of p, given that the rate of change of the height of the water level is 0.1ms^-1 at the instant when the height of the water level is 0.2m.
(Use ? = 3.142 and volume of cone = 1/3?r^2h)

Show me the working please. Thanks a million!
ans_now_plz is offline  
 
February 10th, 2013, 05:09 AM   #2
Math Team
 
Joined: Sep 2007

Posts: 2,409
Thanks: 6

Re: Help me with this question pretty please

Are you taking a Calculus course? This is a pretty standard Calculus question and examples are given in any Calculus text.
You really need to at least try to do this yourself. You have stated the formula for volume, . That's good! Knowing that the container has "diameter 0.8m and height 0.4m" (so radius .4 m) can you see that the water in it, at any height will form a cone with equal radius and height, r= h? Replacing r with h will give a formula for V in terms of h only. Differentiating both sides with respect to t will give a formula relating the rate of change of V to the rate of change of h.
HallsofIvy is offline  
Reply

  My Math Forum > High School Math Forum > Pre-Calculus

Tags
pretty, question



Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
pretty hard inequality yo79 Math Events 1 January 15th, 2013 01:10 AM
Chemistry - ions, should be a pretty easy question mathslog Chemistry 1 August 28th, 2012 03:16 PM
This is pretty embarassing... forthelove Academic Guidance 3 December 24th, 2011 06:59 PM
Geometry problem help. (Pretty sure I've got it right.) sheepshead Geometry 1 February 12th, 2010 05:31 AM
Some Help Would Be Pretty Nice RMAC212121 Pre-Calculus 2 September 13th, 2009 05:10 PM





Copyright © 2019 My Math Forum. All rights reserved.