volume of a bucket

Hi All.
"My bucket is 40 cm. in height. At the top it has a diameter of
30 cm. At the bottom, it has a diameter of 20 cm. When it is full,
how many litres does it hold ? "
I need to help my niece with such maths problems, but most
of what I knew about integrals etc has long been forgotten.
Does anyone know of a (hopefully free) tutor that I can download
to assist with basic tuition and automate calculations ?
regards

 

merlin--You probably know that you can find almost anything on www.google.com . For example
http://microgeometry.netfirms.com/content/equations.html#frustcone (look under frustrum cone)
which I got from one of the hits at
http://www.google.com/search?hl=en&ie=UTF-8&oe=UTF-8&q="geometry+equations"&btnG=Google+Search
Then she will also need to convert the volume to liters.
But doesn't she have a geometry book?
P.S. As you can see, integrals are not involved. This problem is solved with a simple equation from geometry, not calculus. But maybe there are other problems outside geometry?? Again, a book would help (or google). To automate, try a scientific calculator.

 

Thanks Jim for the tips.
I have been looking around and have found one or two things that I am looking at.
The question I asked was from one of her test papers, and
is not solvable with geometry but rather integral algebra.
regards

 

merlin--Maybe there is more to the question than you posted, but it would seem the formula for the volume of a frustrum cone would get you the answer in cubic centimeters, and a division by 1000 would give you the volume in liters.