Calculating Volume of a Cone: Need Help?

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To calculate the volume of a cone, the standard formula of 1/3*π*r²*h is applicable, even for non-standard cones. It's crucial to ensure that the units used yield cubic measurements (m³) for volume, rather than squared units (m²) associated with surface area. The discussion clarifies that substituting the radius squared and height into the formula will provide the correct volume. The participants confirm that the typical cone equation is valid regardless of the cone's shape. Understanding the proper application of the formula is essential for accurate calculations.
golb0016
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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?
 

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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
 
The units would be m^3 (r*r*h)
 
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
 
So the regular cone equation can be used even though the cone is abnormal?
 
Yes it can be.

Thanks
Matt
 

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