A solid consists of a cone on top of a cylinder with a radius equal to the cone. The height of the cone is #3 # and the height of the cylinder is #12 #. If the volume of the solid is #25 pi#, what is the area of the base of cylinder?

Answer 1

#25/13 pi# sq unit

We know the vol of a cone is #1/3 pi r^2 h1# cu unit where h1 is height of cone and r is radius of cone. we also know the vol of cyl is #pi r^2 h2# cu unit where h2 is height of cyl and radius is same as cone So as per question, #1/3 pi r^2 h1 + pi r^2 h2 = 25 pi# or, #pi r^2(1/3 h1+h2) = 25 pi# or, #r^2(1/3 * 3 + 12) = 25# or, #r^2 = 25/13#

Now the area of base of cyl is #pi r^2# = #25/13 pi# sq unit

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Answer 2

Aurora Ayala

The area of the base of the cylinder is 4π.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.