Cone volume from a 3-4-5 triangle

[golb0016]

Homework Statement

Find the volume, see attachment

Homework Equations

I can't find the proper equation for this cone.

The Attempt at a Solution

he triangle is a 3, 4, 5 triangle. Is the typical cone equation of 1/3*PI*r^2*h used or a different equation?

 

[CFDFEAGURU]

Look at the units your equation would produce. If you used your equation you would get a unit that is squared implying a surface area such as meters squared (m^2). For a volume you need a unit that is cubed. So your equation is incorrect.

Think of what you need to get the correct unit of volume.

Thanks
Matt

 

[golb0016]

The units would be m^3 (r*r*h)

 

[CFDFEAGURU]

You got it.

Now substitute the (r*r)*h into your equation from post 1 and you should get the correct answer.

Sorry, I didn't catch the h in your first post. Looks you had it right all along.

Thanks
Matt

 

[golb0016]

So the regular cone equation can be used even though the cone is abnormal?

 

[CFDFEAGURU]

Yes it can be.

Thanks
Matt