I have a project that states the object is a cylinder, V=141.3 S=150.7 My teache

Question

I have a project that states the object is a cylinder, V=141.3 S=150.7 My teacher did a terrible job at explaining the directions but what I do know is that I am required to make a model of this cylinder. I was wondering how I would go about finding the dimensions in which to do that. I'm sorry if this is confusing and I hope you can help. Thanks ! Ps it's due Monday I have a project that states the object is a cylinder, V=141.3 S=150.7 My teacher did a terrible job at explaining the directions but what I do know is that I am required to make a model of this cylinder. I was wondering how I would go about finding the dimensions in which to do that. I'm sorry if this is confusing and I hope you can help. Thanks ! Ps it's due Monday My teacher did a terrible job at explaining the directions but what I do know is that I am required to make a model of this cylinder. I was wondering how I would go about finding the dimensions in which to do that. I'm sorry if this is confusing and I hope you can help. Thanks ! Ps it's due Monday

Explanation / Answer

That' ok.

By dimensions of cylinder you bascially need the radius and height, because that' all what is required to draw cylinder. If we can indepdently find out the dimensions then it' ok ( meaning radius and height are solvable). But if there are 2 unknowns 1 equation then each of the variables is not dicernable.)

Let' see below:

So, V = 4/3 *pi*radius^2 * height = 141.3

Surface area = 2*pi*(radius^2)*+ 2*pi*radius*(hieght) = 150.7

Divide volume by surface area = V/S = (r^2 *h)/ (2r^2 +2rh) = 141.3/150.7

rh/(2r+2h) = .9376

rh/(r+h) = 1.8752

Inversing,

1/r + 1/h = 1/1.8752

Which means that you have 2 unknowns( radius and height) and 1 equation. There' no other relation given in the question, so each of the r and h aren't indepdently dicernatble. You will have to use this relation (1/r + 1/h = 1/1.8752) to solve model a cylinder.

This means that you can model any clinder of radii and heights which fit this relation.

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