find the height of the figure below if the volume is 174.33 cm^3
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OpenStudy (anonymous):
|dw:1369631317973:dw|
OpenStudy (anonymous):
The volume of a cylinder is...\[V = \pi r ^{2}h \]
And you are just looking to solve for h!
OpenStudy (anonymous):
ok
OpenStudy (anonymous):
still cant find it
OpenStudy (anonymous):
is it 15.6 cm
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OpenStudy (anonymous):
the area of a circle is
\[A=\pi r^2\]
where pi is 3.14159265353...
generally use 3.14 unless instructed otherwise
find the area of the circle
then divide it from the volume of the cylinder to get the height
OpenStudy (anonymous):
and i did not get 15.6 as the answer
OpenStudy (anonymous):
still cant find it
OpenStudy (anonymous):
well, what is the area of the circle-
first calculate that and show me your answer
OpenStudy (anonymous):
i got 29.516
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OpenStudy (anonymous):
because i did 3.14*4.7
OpenStudy (rajee_sam):
Area = π r²
= 3.14 * 4.7 * 4.7
OpenStudy (anonymous):
ok i got 69.3626
OpenStudy (rajee_sam):
h = Volume / Area
OpenStudy (anonymous):
i got 2.513314
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OpenStudy (rajee_sam):
yes
OpenStudy (anonymous):
but its not the answer i got here
OpenStudy (rajee_sam):
what are the answer choices?
OpenStudy (kenljw):
\[\int\limits_{o}^{2.5cm}2pirdr \int\limits_{0}^{h}dh = V = 174.33 cubic cm\]
solve for h
OpenStudy (anonymous):
it is 10.04cm, 5.52cm ,11.04cm , 15.6cm
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OpenStudy (rajee_sam):
Did you give us the Volume right??
OpenStudy (anonymous):
yes the volume is 174.33cm^3
OpenStudy (rajee_sam):
what is the radius is it the radius given to you or the diameter?
OpenStudy (anonymous):
its 4.7cm
OpenStudy (rajee_sam):
something is not right
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OpenStudy (anonymous):
i know
OpenStudy (rajee_sam):
for the given volume and the radius , that is the height 2.51 cm
OpenStudy (anonymous):
im guessing they are trying to confuse me
OpenStudy (anonymous):
because 2.51 is not one of the answer
OpenStudy (anonymous):
i can confirm that 2.51cm is the correct height
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OpenStudy (anonymous):
thats weird the answer is not here
OpenStudy (rajee_sam):
See if you are looking at the right set of answers
OpenStudy (anonymous):
yea i am
OpenStudy (rajee_sam):
lol
OpenStudy (anonymous):
lol idk
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OpenStudy (anonymous):
i got 10.04 if 4.7 was the diameter instead of the radius