SOLUTION: How to find the volume of a conical bucket of height-480mm,diameter-420mm?

Question 99330: How to find the volume of a conical bucket of height-480mm,diameter-420mm?
Answer by doukungfoo(195) (Show Source): You can put this solution on YOUR website!
When trying to find volume for a particular shape you need to know the right formula. In this problem you are trying to find the volume of a cone shape. So the formula for finding the volume of a cone is equal to 1/3 times the area of the base times the height of the cone. The area of a cone is a circle, and the area of a circle is equal to . So the formula for volume of a cone looks like this:

So V is volume
h is the height of the cone
and is the area of the base of the cone (area of a circle)
Ok so lets start with the area of the base part of the formula.
So just deal with the part for now. We are given the diameter is 420mm. First we need to convert that into the radius. Well the radius of a circle is always 1/2 the diameter. So just divide 420 by 2. That would make the radius 210mm. Now just use 210 for r in the area formula so using a calculator that has a key I got 138544.236
If you use 3.14 for you should get 138474.
Using a calculator with a key is more accurate than using just 3.14. The question provided doesn't say what it wants you to use for so you will have to ask your instructor what they want.
Anyways now it is just a matter of pluging in the values you have into the volume formula. The height is given as 480mm so your equation should look like this:
or
Depending on which value of use to find the area of the base.
So using the caculator I got V= 22167077.76 cubic mm
using 3.14 I got V = 22155840 cubic mm
Again the difference is because of the value used for . The instructor or question should specify what to use. If in doubt always use a calculator with a function.
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