A cone-shaped container sits inside a larger cone. The inner cone has a height of 3 in. and a diameter of 6 in. The outer cone has the same diameter and is 15 in. tall. The extra space in the outer cone is filled with crushed ice to keep the contents of the inner cone cool.
What is the volume of crushed ice?
Use 3.14 to approximate pi, and express your final answer in hundredths.
in3
@StudyGurl14
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OpenStudy (anonymous):
OpenStudy (studygurl14):
Find the volume of the bigger cone. find the volume of the smaller cone. subtract the volume of the smaller cone from the volume of the larger cone.
Volume of cone = \(\Large\frac{r^2\pi h}{3}\)
Tell me what you get
OpenStudy (anonymous):
it shows to diameters what should i do @StudyGurl14
OpenStudy (studygurl14):
Diameter is twice the radius
OpenStudy (anonymous):
yes but what is the diameter
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OpenStudy (anonymous):
@StudyGurl14
OpenStudy (studygurl14):
The question says the diamter is 6in
OpenStudy (anonymous):
ok 84.78
OpenStudy (anonymous):
@StudyGurl14
OpenStudy (anonymous):
am i correct
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OpenStudy (anonymous):
hello?
OpenStudy (anonymous):
@EclipsedStar
OpenStudy (studygurl14):
no
OpenStudy (studygurl14):
wait, are you saying that's teh volume, or the answer?
OpenStudy (anonymous):
yes
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OpenStudy (studygurl14):
yes to what? volume? or answer?
OpenStudy (anonymous):
volume
OpenStudy (studygurl14):
no for either of the cones. did you remember to divide by 3?
OpenStudy (anonymous):
no
OpenStudy (anonymous):
28.26
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OpenStudy (anonymous):
@StudyGurl14
OpenStudy (studygurl14):
28.27, yes
OpenStudy (studygurl14):
now, find the volume of teh bigger cone
OpenStudy (anonymous):
56.52
OpenStudy (anonymous):
@StudyGurl14
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OpenStudy (anonymous):
am i correct?
OpenStudy (studygurl14):
no
OpenStudy (anonymous):
what is it
OpenStudy (anonymous):
?
OpenStudy (studygurl14):
Try again. use 3 for the radius and 15 for the hieght
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OpenStudy (anonymous):
423.9
OpenStudy (anonymous):
@StudyGurl14
OpenStudy (studygurl14):
remember to divide by 3....
OpenStudy (anonymous):
141.3
OpenStudy (anonymous):
@StudyGurl14
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OpenStudy (studygurl14):
yep. now subtract the previous volume from this one
OpenStudy (anonymous):
85.1
OpenStudy (anonymous):
@StudyGurl14
OpenStudy (studygurl14):
\(\large 141.3-28.27\neq 85.1\)
OpenStudy (anonymous):
oh my bad
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OpenStudy (anonymous):
113.03
OpenStudy (anonymous):
@StudyGurl14
OpenStudy (studygurl14):
yep :) that's teh answer
OpenStudy (anonymous):
ok one more? all i need you to do is check my answer and thant you :)
OpenStudy (studygurl14):
yep. new thread please.
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