# A solid consists of a cone on top of a cylinder with a radius equal to that of the cone. The height of the cone is #33 # and the height of the cylinder is #17 #. If the volume of the solid is #168 pi#, what is the area of the base of the cylinder?

##### 1 Answer

Apr 10, 2016

#### Explanation:

Consider the diagram

Note:

Remember the formulas

#color(purple)(V_(con)=1/3pir^2h#

#color(purple)(V_(cyl)=pir^2h#

#color(purple)(Area_(base)=pir^2#

And

We know that the volume of the whole solid is

Our aim is to find Area of base (

And we could see that

So, consider

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