A cotton candy holder is shaped like a cone. The height is 12 in., and the diameter is 12 in.
What is the volume of the holder?
Use 3.14 to approximate pi, and express your final answer to the nearest tenth..
______in3
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OpenStudy (anonymous):
please help ill meadal
OpenStudy (anonymous):
First, do you know how to find the volume of a cone?
OpenStudy (anonymous):
yea i think i have to do it right now @alina1234
OpenStudy (anonymous):
Do you still need help?
OpenStudy (anonymous):
yes
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OpenStudy (anonymous):
What is the volume of a cone? Can you tell me?
OpenStudy (anonymous):
is the answer 1809 ?
OpenStudy (anonymous):
@alina1234
OpenStudy (anonymous):
no
OpenStudy (anonymous):
oh
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OpenStudy (anonymous):
the volume of a cone is V=πr^2*h*1/3
OpenStudy (anonymous):
Let's start by finding the radius. The diameter is 12, and divide it by 2 to get the radius
OpenStudy (anonymous):
soooo..... now what lol
OpenStudy (anonymous):
The radius is 6 and notice in the formula it asked you to square it. So what's 6^2 or 6 squared?
OpenStudy (anonymous):
3? do u have to divide that
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OpenStudy (anonymous):
No, 6^2 is actually 36
OpenStudy (anonymous):
oooh
OpenStudy (anonymous):
so 36?
OpenStudy (anonymous):
Yes. Then we times 36 by 3.14 (π)
OpenStudy (anonymous):
What's 36*3.14?
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OpenStudy (anonymous):
50.24
OpenStudy (anonymous):
Do you have a calculator that can check your answer?
OpenStudy (anonymous):
no i dont
OpenStudy (anonymous):
can u do it?
OpenStudy (anonymous):
Good thing I do! The answer is 113.04. So 36*3.14=113.04
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OpenStudy (anonymous):
so 113.04?
OpenStudy (anonymous):
Now according to the formula V=πr^2 h*1/3. Do you know what we do next?
OpenStudy (anonymous):
no
OpenStudy (anonymous):
So we have already solved πr^2, we times the answer we got 113.04 by the height (h)
OpenStudy (anonymous):
Can you tell me what the height is?
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OpenStudy (anonymous):
113.04?
OpenStudy (anonymous):
Look back at the original problem, what is the height
OpenStudy (anonymous):
113.04 is πr^2
OpenStudy (anonymous):
oh yeaa
OpenStudy (anonymous):
so now what
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OpenStudy (anonymous):
"A cotton candy holder is shaped like a cone. The height is 12 in., and the diameter is 12 in."
that was the original problem, the height is 12 in
OpenStudy (anonymous):
Now we times πr^2 by h.
OpenStudy (anonymous):
Remember earlier I told you that πr^2 is 113.04?
OpenStudy (anonymous):
yea
OpenStudy (anonymous):
We times 113.04 by the height which is 12. What do you get? 113.04*12=...
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OpenStudy (anonymous):
ummm im getting long numbers and its hard when u dont have a calculator lol
OpenStudy (anonymous):
You get 113.04*12=1356.48
OpenStudy (anonymous):
But that's not the answer yet! The last thing we need to do is divide by 3.
OpenStudy (anonymous):
So the final answer is 452.16 in^3
OpenStudy (anonymous):
oh ok
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