Please help me! Will give medal :)
The volume of a cone is 300 cubic kilometers. If the radius of the base is 7 kilometers, what is the height of the cone? Use three point one four for pi. Show your work and round to the nearest tenth.
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OpenStudy (anonymous):
Please help! last question for my final exam... :)
OpenStudy (anonymous):
@nincompoop
OpenStudy (nincompoop):
do you know the formula of the volume of a cone?
OpenStudy (nincompoop):
\[V=\pi r^2 \frac{ h }{ 3 }\]
OpenStudy (anonymous):
i was just gonna write that lol
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OpenStudy (nincompoop):
so solve for h
\[\frac{ 3V }{ \pi r^2 }=h\]
OpenStudy (anonymous):
V = πr^2h
300 km^3 = 3.14(7 km)^2 h
1.949824516... = h
The height is approximately 1.9 km
OpenStudy (nincompoop):
\[\frac{ 3\times 300 }{ \pi \times 7^2 }\]
OpenStudy (nincompoop):
neroye, please do not give out answers. it is a violation of the code of conduct
OpenStudy (anonymous):
3*300=900... 3.14*49=153.86
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OpenStudy (nincompoop):
did you use a calculator? it says nearest tenth
OpenStudy (anonymous):
yes i used calculator.. my teacher says i can.. :)
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OpenStudy (nincompoop):
nope
OpenStudy (nincompoop):
did you look at the place values?
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
i reccommed not use a calculator it will ruin your math
just an advice
OpenStudy (anonymous):
gotya chief :)
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OpenStudy (nincompoop):
12345.6789
nearest tenth would be looking at the 6
and you have to look at the number to its right. if it is 5 or more you add 1 to 6
OpenStudy (anonymous):
you know how to round off right?
OpenStudy (nincompoop):
so that gives you
12345.7 as nearest tenth round off
OpenStudy (nincompoop):
@ChiefArnav I got this already. you can help other people
OpenStudy (anonymous):
i'am justing a job from my part know u didi it but
i hiope u got me
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OpenStudy (anonymous):
150.9
OpenStudy (anonymous):
do u want a re expalination
OpenStudy (anonymous):
umm.. its ok @nincompoop can help me :) thanks for your help though..
OpenStudy (anonymous):
okay
OpenStudy (nincompoop):
correct
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OpenStudy (anonymous):
ok... so is that all?
OpenStudy (nincompoop):
yeah
OpenStudy (anonymous):
may be guess so
OpenStudy (nincompoop):
we've done a formula transformation
that is we first determined the formula of h in a volume of a cone
then use that formula to solve for the actual value with the information we were provided.
OpenStudy (anonymous):
got it! thank you all so much!
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