im stuck.someone help?
A cone has a base radius of 2 millimeters and a height of 24 millimeters.
What is the volume of the cone?
A.
32π mm3
B.
384π mm3
C.
96π mm3
D.
16π mm3
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OpenStudy (mathmale):
Please type in the formula for the volume of a cone. If unsure, look up this formula (Google "volume of cone."
OpenStudy (anonymous):
v=1/3BH @mathmale
OpenStudy (mathmale):
that'd be fine if you'd please enclose that "1/3" inside parentheses.
OpenStudy (anonymous):
sorry
OpenStudy (mathmale):
What is the formula for the area of a circle (which is what the base is)?
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OpenStudy (mathmale):
\[V=\frac{ 1 }{ 3} b h\]
OpenStudy (anonymous):
a=pie(r^2)
OpenStudy (mathmale):
becomes\[V=\frac{ 1 }{ 3 } \pi r^2 h\]
both r and h are given, and are in mm. Substitute the given values into this formula (immediately above).
OpenStudy (mathmale):
Yes, the area of the base is \[A _{base}=\pi r^2\]
OpenStudy (anonymous):
And also think about what each variable in your volume formula stands for... B = Area of Base, H = length of Height.
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OpenStudy (mathmale):
... and you can see that in my volume formula (above).