Algebra -Direct proportion - Linear,nonlinear

Algebra -Direct proportion - Linear,nonlinear

Cylinder P has radius xcm and is filled with water to a depth of dcm.
This water is poured in to cylinder Q and filles it to a depth of 3dcm.What is the radius of cylinder Q?
Chathurangi

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Re: Algebra -Direct proportion - Linear,nonlinear

A cylinder with radius r and height h has volume $$\pi r^2h$$ so a cylinder of radius x cm and height d cm has volume $$\pi x^2d$$ cubic centimeters. That is the volume of water filling that cylinder. A cylinder of radius r and height 3 cm has volume $$\pi r^2(3)= 3\pi r^2$$. If the water fills the second cylinder to that height then we must have $$3\pi r^2= \pi x^2d$$. Solve that equation for r.

HallsofIvy

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