You are here:

Calculus/pyramidal tank

Advertisement

Expert: Alon Mandes - 8/28/2010


Question
Hi im a filipino student taking up Engineering and ive come across this math problem that has really got me stumped

The pyramidal tank has a square base of 11.6ft on a side and an altitude of 14.8ft. How many gallons of warter are in it when the depth of the water is 5,725ft?

thanks

Answer

drawing
Let's set d to be the height of level of water from the base . We
know that d=5.725 ft . From this level to the vertex , the hieght
will be h=14.8-5.725=9.075 ft .
Let's find a relation between h (or d) and b ("the length of base
at that certain level") see the drawing attached .
From geometry we know that : h/14.8 = b/11.6 Thus b=7.112 ft .

# The volume of the air is        : (1/3)*b²*h=153.042
# The volume of the whole tank is : (1/3)*11.6²*14.8=663.829
# The volume of the water is      :  663.829-153.042=510.786

Alon.
    Questioner's Rating
    Rating(1-10)Knowledgeability = 10Clarity of Response = 10Politeness = 10
    Commentthanks for your time and expertise


  • Add to this Answer
  • Ask a Question

Alon Mandes

Expertise

Kind of questions I can answer : Limits, Derivatives, Integration, Implicit functions, continuousity, differentiation ,Extremum problems, Lagrange multipliers, Gradients, Surface integrals, Multi variables functions ,Multi variables Integrals,Complex variables ,Complex functions, Curves, Trajectory integrals & Vector analyse,Divergence,Rotor & word problems. Kind of question I can't answer : Economics,Combinatorics,infinite series & convergence ,Statistics & Probabilities .

Experience

1. I'm a team member of mathnerds (math site for answering questions) 2. I'm a team member in the Student's Union of the Technion, helping students who have problems in mathematics. 3. 2 years of experience as a math teacher in college. 4. I give free homework help for high school students in Mathematics & Physics. 5. I teach part time in collage the subjects : "Digital Signal Processing" , "Random Signals & Noise" , "Complex Functions".

Organizations
Hi-Tech company : GSM4VOIP ; job possition : Algorythm developer.

Education/Credentials
M.A in Mathematics & Bs.c in Electronics.

©2012 About.com, a part of The New York Times Company. All rights reserved.