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Using integrals, how do you find the volume of a equilateral triangle based pyramid with height h? let a equal one side of the triangular base
 one year ago
 one year ago
Using integrals, how do you find the volume of a equilateral triangle based pyramid with height h? let a equal one side of the triangular base
 one year ago
 one year ago

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slaaibakBest ResponseYou've already chosen the best response.1
Ha, good question. Hmm, I think it would be best to define a pyramid in terms of planes, and then using rectangular coordinates to solve
 one year ago

dfreseniusBest ResponseYou've already chosen the best response.0
dw:1354836422356:dw
 one year ago

dfreseniusBest ResponseYou've already chosen the best response.0
@Algebraic! hey Chief, can you help me out with this volume problem?
 one year ago

dfreseniusBest ResponseYou've already chosen the best response.0
dw:1354836727530:dw
 one year ago

slaaibakBest ResponseYou've already chosen the best response.1
http://mathhelpforum.com/calculus/107926findvolumedescribedsolid.html
 one year ago

dfreseniusBest ResponseYou've already chosen the best response.0
How does he get A=root(3)/2 (a^2)
 one year ago

slaaibakBest ResponseYou've already chosen the best response.1
dw:1354837670054:dw
 one year ago

slaaibakBest ResponseYou've already chosen the best response.1
That's using pythagoras. Then the area is just A=bh/2
 one year ago

slaaibakBest ResponseYou've already chosen the best response.1
hmm weird, i'd get A=root(3)/4 (a^2)
 one year ago

dfreseniusBest ResponseYou've already chosen the best response.0
Huh. That is weird. That's what I got also.
 one year ago

slaaibakBest ResponseYou've already chosen the best response.1
he made a mistake it seems. \[A = {\sqrt 3 \over 4} \times a^2\]
 one year ago

dfreseniusBest ResponseYou've already chosen the best response.0
Would that mean this his equation for S(r) is wrong also?
 one year ago

slaaibakBest ResponseYou've already chosen the best response.1
I think S(r) is correct.
 one year ago
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