Mathematics
6 Online
OpenStudy (anonymous):
MEDAL & FAN ANYBODY ?
Calculate the volume of the composite figure.
A. 97pi in.3
B. 108pi in.3
C. 117pi in.3
D. 124pi in.3
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OpenStudy (anonymous):
OpenStudy (anonymous):
@sleepyjess
OpenStudy (sleepyjess):
lets find the volume of the cone first \(\pi r^2\dfrac{h}{3}\) r is 3 h is 9
OpenStudy (anonymous):
@sleepyjess that is 84.78
OpenStudy (gorv):
ok first divide it in two part
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OpenStudy (sleepyjess):
oh it looks like they want is to leave it in terms of pi by looking at the answers
OpenStudy (gorv):
one is cone and other in cylinder
OpenStudy (sleepyjess):
the the first one would be 27\(\pi\) actually
OpenStudy (gorv):
how do u calculate the volume of cone ??
OpenStudy (sleepyjess):
volume of a cylinder is \(\pi r^2h\)
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OpenStudy (anonymous):
@sleepyjess so i was wrong ?
OpenStudy (gorv):
and cone??
OpenStudy (sleepyjess):
no you were right you just went 1 step further than they wanted
OpenStudy (anonymous):
@sleepyjess so after the 1st step , whats the next ?
OpenStudy (sleepyjess):
did you see the formula i gave you for cylinder?
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OpenStudy (anonymous):
@sleepyjess no i didnt
OpenStudy (sleepyjess):
\(\pi r^2h\)
OpenStudy (sleepyjess):
we already know that r=3 from the cone and they tell us that the height is 10
OpenStudy (anonymous):
that would be 282.6
OpenStudy (sleepyjess):
dont multiply by \(\pi\) just 10*9
which leave 90\(\pi\)
then add 90\(\pi\) and 27\(\pi\) and you have your answer
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OpenStudy (anonymous):
i see . thanks @sleepyjess