Which solid has a greater volume?
http://gyazo.com/6370f541214d2a59888ae3e3336b3534
@Hero @phi @dan815 @e.mccormick @Compassionate @AriPotta
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OpenStudy (compassionate):
Do you know the formula for the volume of a pyramid and cylinder?
OpenStudy (anonymous):
no
OpenStudy (compassionate):
For a Pyramid \[V = \frac{ lwh }{ 3 }\] \[V = \frac{ 5 \times 5 \times 6 }{ 3 }\] And for the cylinder we have \[V = \pi r^2h\]\[V = 3.14 \times 1^2 \times 50\]
The radius is one, so we just square it.
Alright, so now that we have all that out of the way, we simply solve for both and compare.
OpenStudy (anonymous):
So which one would it be?
OpenStudy (anonymous):
Figure A?
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OpenStudy (compassionate):
Show me your work. Solve both then post the results.
OpenStudy (anonymous):
Ahh can you just help me out here :p
OpenStudy (compassionate):
To get figure A; solve:
\[V = \frac{ 5 \times 5 \times 6 }{ 3 }\] And to get figure B; solve: \[V = 3.14 \times 1^2 \times 50\]
OpenStudy (compassionate):
Basically, all I did was use the formulas and plug-in the known values.
OpenStudy (anonymous):
A: 50
B: 157
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