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Help with 3d graphing of a hyperboloid

Posted 9 years ago

can some one please tell me how to do this. I've been trying all kinds of different combos with no luck. heres the problem :

consider a cooling tower for a nuclear reactor to be construted in a shape of a hyperboloid of one sheet. The diameter at base is 280m and the minimum diameter, 500m above the base is 200m. a) find the equation for the tower b) using technology (wolframAlpha) generate a plot of the tower.

so for a) the equation i came up with is (x^2/10,000)+(y^2/10000)-(3z^2/781250)=1 and -500<=z<=500. however what would be the x and y domain? and how do i put this on wolfram to get the plot? thanks for looking at this problem. james

POSTED BY: james lemmon
2 Replies
x^2/a + y^2/b - z^2/c == 1

x^2/a + y^2/b - 0^2/c == 1,    x^2 + y^2 == 100^2,    a==b
=> a == b == 10000

x^2/10000 + y^2/10000 - 0^2/c == 1,    x^2 + y^2 == 140^2
=> c == 781250/3

x^2/10000 + y^2/10000 - 3 z^2/781250 = 1

We can take the x and y coordinate ranges from what we know. There's a circular tower with radius varying from 100 to 140 about the axes, plot x and y between +- 140.

You want to coax WA into giving you the ContourPlot3D of the above equation. I had issues specifying a z range.

Wolfram Alpha Plot

POSTED BY: David Gathercole
Posted 9 years ago

thanks, i need to graph it in wolfram and its being a pain. thanks for the explanation

POSTED BY: james lemmon
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