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Mathematics 12 Online
Fontanez:

A funnel is made up of a partial cone and a cylinder as shown in the figure. The maximum amount of liquid that can be in the funnel at any given time is 16.5937 pi cubic centimeters. Given this information, what is the volume of the partial cone that makes up the top of the funnel?

Mercury:

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Mercury:

the whole funnel is made of two parts: the cylinder at the bottom, and the cone at the top therefore: volume of funnel = volume of cylinder + volume of cone step 1: find the volume of the cylinder. formula: V = 2*pi*r*h, where r is the radius, and h is the height. note that on the picture you are given the diameter, so simply divide diameter/2 to get the radius. plug into the formula to find the cylinder volume. step 2: plug in the cylinder height and funnel volume and solve for the volume of the cone

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