Arch Problem

Quadratic equations and inequalities, variation equations, function notation, systems of equations, etc.

Arch Problem

Postby Chasyesker on Sun Mar 23, 2014 10:23 pm

Need help with this one ...

You are designing an archway for the entrance to a college campus. The line y=0 is the base of the 4 foot square prism pillars. The pillars are 10 feet tall and the walkway between the pillars is 20 feet apart. The arch that sits atop was created using two semi-ellipses measured in feet:

(x^2)/100 + ((y-10)^2)/4 =1 and (x^2)/196 + ((y-10)^2)/36=1 The front and back sides of the archway are flat.

Graph the front view of this archway and find the volume needed to build it. Leave answer in terms of pi. No decimal answers.
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Re: Arch Problem

Postby Alfred on Tue Mar 25, 2014 10:52 am

No graph paper?
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Re: Arch Problem

Postby little_dragon on Tue Mar 25, 2014 1:36 pm

Chasyesker wrote:You are designing an archway for the entrance to a college campus. The line y=0 is the base of the 4 foot square prism pillars. The pillars are 10 feet tall and the walkway between the pillars is 20 feet apart. The arch that sits atop was created using two semi-ellipses measured in feet:

(x^2)/100 + ((y-10)^2)/4 =1 and (x^2)/196 + ((y-10)^2)/36=1 The front and back sides of the archway are flat.

Graph the front view of this archway and find the volume needed to build it. Leave answer in terms of pi. No decimal answers.

do they give U a formula for areas? ellipses are hard i think
is the arch on top of the pillars? or does it go thru?
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