Mathematics
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OpenStudy (anonymous):
Please help!!!!!!!!!!will medal and fan
Find the following measure for this figure.
Volume =
275 cubic units
91 2/3 cubic units
36 2/3 cubic units
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OpenStudy (anonymous):
jimthompson5910 (jim_thompson5910):
You will use this formula
\[\Large V = \frac{1}{3}\pi*r^2*h\]
where
r = radius
h = height
pi is approximately 3.14
OpenStudy (anonymous):
oh um
OpenStudy (anonymous):
still confused
jimthompson5910 (jim_thompson5910):
do you see how r = 5 and h = 11 ?
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OpenStudy (anonymous):
ya
OpenStudy (jdoe0001):
so plug them in the formula
OpenStudy (anonymous):
so 5 times 5 ti,es 11?
jimthompson5910 (jim_thompson5910):
Yes correct
\[\Large V = \frac{1}{3}\pi*r^2*h\]
\[\Large V = \frac{1}{3}\pi*5^2*11\]
\[\Large V = \frac{1}{3}\pi*25*11\]
Do you see how to finish up?
OpenStudy (anonymous):
no sorry i dont
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jimthompson5910 (jim_thompson5910):
25 times 11 = 275
then you multiply 275 by 1/3 to get ???
OpenStudy (anonymous):
something with the fraction right?
OpenStudy (anonymous):
ummm 91.6
jimthompson5910 (jim_thompson5910):
now multiply that with the value of pi, which is approx 3.14
jimthompson5910 (jim_thompson5910):
oh wait, are there pi symbols in your answer choices?
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OpenStudy (anonymous):
ya
jimthompson5910 (jim_thompson5910):
turns out that \[\Large 91.\bar{6} = 91 \frac{2}{3}\]
OpenStudy (anonymous):
ohh
jimthompson5910 (jim_thompson5910):
so
\[\Large V = \frac{1}{3}\pi*25*11\]
\[\Large V = 91.\bar{6}\pi\]
\[\Large V = 91 \frac{2}{3}\pi \]
jimthompson5910 (jim_thompson5910):
Another way to get 91 & 2/3 is to do
275/3 = 91 remainder 2
The 91 is the quotient
The remainder of 2 forms the numerator over 3
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OpenStudy (anonymous):
oh okay thank you!!!
jimthompson5910 (jim_thompson5910):
glad to be of help