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- anonymous

The volume of a cone that fits exactly inside a cylinder is 20 cubic feet. What is the volume of the cylinder? (5 points)
Select one:
a. 4 cubic feet
b. 5 cubic feet
c. 40 cubic feet
d. 60 cubic feet

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- anonymous

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- anonymous

can anyone please help!!!

- anonymous

@annas please help!

- anonymous

@phi please help!

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- phi

can you draw a picture of this problem?

- anonymous

there is no picture

- phi

yes, I would guess not. But can you draw the picture ?

- anonymous

oh ill try

- anonymous

|dw:1432753887485:dw|

- anonymous

I'm sorry I'm a little confused

- phi

It would look like this
|dw:1432754046569:dw|

- anonymous

oh okay

- phi

the important idea is that the cone has the same radius and same height as the cylinder
the volume of a cone is
\[ V_{cone}= \frac{1}{3} \pi r^2 h \]
the volume of the cylinder is
\[ V_{cylinder}= \pi r^2 h \]
if r and h are the same in both equations, then the cone is 1/3 the volume of the cylinder

- phi

or, in other words, the cylinder is 3 times bigger volume than the cone.
if the cone is 20, what is 3 times bigger than that ?

- anonymous

80?

- phi

what is 3*20 ?

- anonymous

oh my ad it's 60 i miscalculated

- anonymous

bad*

- anonymous

so the it would be 60 for the answer?

- phi

yes

- anonymous

thank you so much! I really appreciate you taking the time to help me!:)

- phi

yw

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