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marigirl
 one year ago
can you please check over why my method is incorrect for this question.
Topic differentiation
A Cylinder of height h and radius r is inside a sphere of of radius 10. find the value of r that will maximise volume of cylinder
marigirl
 one year ago
can you please check over why my method is incorrect for this question. Topic differentiation A Cylinder of height h and radius r is inside a sphere of of radius 10. find the value of r that will maximise volume of cylinder

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marigirl
 one year ago
Best ResponseYou've already chosen the best response.0Volume of a cylinder is v=pi r^2*h so i went about getting an expression or h to substitute in by using similar triangles

marigirl
 one year ago
Best ResponseYou've already chosen the best response.0so i used similar triangles and obtained h=202r .. the model answers showed that they used pythagoras.. why is my methods incorrect?

amistre64
 one year ago
Best ResponseYou've already chosen the best response.4height is based off a curve, not a line

amistre64
 one year ago
Best ResponseYou've already chosen the best response.4height = sqrt(10^2  x^2)

amistre64
 one year ago
Best ResponseYou've already chosen the best response.4oh, and even tho thats pythagorean, its really based off of the equation for the circle of the sphere

marigirl
 one year ago
Best ResponseYou've already chosen the best response.0but if u take the into consideration the height and radius measurements from the origin of x and y axis  wont it be a straight line?

amistre64
 one year ago
Best ResponseYou've already chosen the best response.4dw:1444434018307:dw

amistre64
 one year ago
Best ResponseYou've already chosen the best response.4all points equidistant from the center ... in this case the origin ... is the equation x^2 + y^2 = r^2

amistre64
 one year ago
Best ResponseYou've already chosen the best response.4height is measured as 2y in this case. radius is x

marigirl
 one year ago
Best ResponseYou've already chosen the best response.0but if u take the into consideration the height and radius measurements from the origin of x and y axis  wont it be a straight line?

amistre64
 one year ago
Best ResponseYou've already chosen the best response.4repeating faulty arguments do not make them any more correct ...

Loser66
 one year ago
Best ResponseYou've already chosen the best response.0where r is the radius of the cylinder, h is the height of it

marigirl
 one year ago
Best ResponseYou've already chosen the best response.0i am not trying sound smart .. i was just generally thinking about these problems... i did a problem before with a cylinder inside a triangle..

amistre64
 one year ago
Best ResponseYou've already chosen the best response.4a sphere is not a triangle :)

amistre64
 one year ago
Best ResponseYou've already chosen the best response.4a cone would have a linear setup ... since its profile is a triangle

marigirl
 one year ago
Best ResponseYou've already chosen the best response.0in that case similar triangle works.. but u cant apply the height is based off a curve...I am sorry i didnt mean to sound arrogant.. im just thinking

amistre64
 one year ago
Best ResponseYou've already chosen the best response.4thinking is good ... just some thoughts are worse than others

marigirl
 one year ago
Best ResponseYou've already chosen the best response.0I appreciate your answer. thank you

amistre64
 one year ago
Best ResponseYou've already chosen the best response.4x^2 + y^2 = 10^2 is the equation of your circle, which your cylindar sets in y = sqrt(100x^2) is the top of the sphere, which is 1/2 the height of the cylindar from the x axis

marigirl
 one year ago
Best ResponseYou've already chosen the best response.0yes i get how that formula is used here. so i guess it really comes down to what the cylinder is inscribed inside...if it is a sphere then its properties would be different to a cone. Thank you

amistre64
 one year ago
Best ResponseYou've already chosen the best response.4V = pi r^2 h, r=x, and h=2sqrt(100x^2) V' = pi (2r r' + r^2 h') V' = 0 when, 2r r' + r^2 h' = 0 just some of my thoughts is all

amistre64
 one year ago
Best ResponseYou've already chosen the best response.4correct, good luck :)
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