Finding the Area of a Cylinder

[jumpingmaniac]

Today I came across this problem, and I am really having trouble figuring it out. I have to find the volume of a cylinder. I multiplied the diameter of the cylinder (6") by pi (3.14) and then multiplied that by the height (3") and came up with 56.52. But according to the teachers manual, that answer isn't even close.

 

[Denis]

http://math.about.com/od/formulas/ss/su ... avol_3.htm

And what's a jumpingmaniac: someone who jumps classes ? :wink:

 

[mmm4444bot]

You typed "Finding the Area of a Cylinder", followed by telling us that you need to find the volume.

Which is it?

 

[jumpingmaniac]

Re:

You typed "Finding the Area of a Cylinder", followed by telling us that you need to find the volume.

Which is it?

Oops. Sorry about that. I need to find the volume..

 

[Mrspi]

Re: Re:

You typed "Finding the Area of a Cylinder", followed by telling us that you need to find the volume.

Which is it?

Oops. Sorry about that. I need to find the volume..

Use the formula for the volume of a cylinder:

V = (area of base)*(height of cylinder)

The base is a circle. For a circle, A = pi * r[sup:3nm1vfeo]2[/sup:3nm1vfeo]

So, the volume formula for a cylinder can be rewritten as

V = (pi * r[sup:3nm1vfeo]2[/sup:3nm1vfeo])*h
You're given the diameter of the circle, and are expected to realize that the diameter is twice the radius. d = 2r

Find the radius, then apply the formula to find the volume.

 

[Deleted member 4993]

Alternatively you can use:

\(\displaystyle \text {Volume} \, {of} \, a \, {cylinder} \, = \, V \, = \, \ \frac{\pi}{4}\cdot D^2\cdot h\)

Where

D = Diameter of the cylinder

h = height of the cylinder

 

[jumpingmaniac]

Thank you for the help. I think I have it figured out now.