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Alborosie
3 years ago
14

So, I had assumed that this one was going to have the answer of 36...just out of pure guessing. I got that wrong so now I'm curi

ous as to how I would go a bout solving it.
Given a soda can with a volume of 36 and a diameter of 4, what is the volume of a cone that fits perfectly inside the soda can? (Hint: only enter numerals in the answer blank).
Mathematics
1 answer:
Elena L [17]3 years ago
3 0
Lets write formulas for volume of both cone and can

Cone:
Vc = Bc*Hc/3

Can:
V = B*H

where B is basis and H is height for each

Now because cone fits perfectly inside can that means that both B and H are the same
from this we can see that cone has 3 times less volume than a can that cone is inside of.

if can has 36 volume that means that cone has:
36/3 = 12 volume

Answer is 12.
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<em>Additional comments</em>

It is useful to become familiar with the domains of different functions. As we saw above, the reciprocal of 0 is undefined. The square root of a negative number is undefined. The log of a non-positive number is undefined. Trig functions are defined everywhere, but their inverse functions are not. Polynomial functions are defined everywhere, but ratios of polynomials have the same restriction on denominators that we see above.

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