Math Arguments

Problems, Questions, and Puzzles to spark discussion and argument in the maths classroom.

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Item 19

The Conical Tank




The last of the three related-rate geogebra problems from Kate Nowak. It's the related rate problem from calculus: the conical tank being filled with water.

Adjust the slider and... wait, what is changing and how?

For every click of the slider:
Is the depth increasing at a constant rate?
Is the radius increasing at a constant rate?
Is the volume increasing at a constant rate?
How can you tell?

  • Where or how, in the RealWorldtm, could we see the constant increase in volume?

  • Where or how, in the RealWorldtm, could we see the constant increase in radius, or depth?



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Explainer
Kate Nowak
CALC

Source: Kate Nowak

If you want to play with the animation, Conical Tank Problem. source: @k8nowak
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