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?

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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?

This water is poured in to cylinder Q and filles it to a depth of 3dcm.What is the radius of cylinder Q?

- Chathurangi
**Posts:**1**Joined:**Sat Jul 21, 2018 11:39 am**Reputation:****0**

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

- HallsofIvy
**Posts:**206**Joined:**Sat Mar 02, 2019 9:45 am**Reputation:****75**

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