Given a soda can with a volume of 15 and a diameter of 2, what is the volume of a cone that fits perfectly inside the soda can? (hint: only enter numerals in the answer blank).

5 cubic units.    

Step-by-step explanation:

We have been given that a can soda can has a volume of 15 cubic units and a diameter of 2.

First of all let us find the height of cylinder using volume of cylinder formula.

, where,

r = radius of cylinder,

h = Height of cylinder.

Now let us divide our diameter by 2 to get the radius of cylinder.

Let us substitute our given values in volume of cylinder formula to get the height of cylinder.

Now we will use volume of cone formula to find the volume of our given cone inscribed inside cylinder.

Since the height and radius of the largest cone that can fit inside the can will be equal to height and radius of can, so we will substitute and in the volume formula of cone.

Therefore, volume of our given cone will be 5 cubic units.

show us the graphs dude

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