Volume of Cylinder

[naeagle]

Ok...
I'm confused...my math problem only gives me the radius when I need to find the volume of the cylinder. How do I find the height in order to find the volume? Is it possible to find the volume without the height? There is also a scale that says 1cm=30cm but I don't know how that is supposed to help me find the volume.

 

[galactus]

Please post the problem exactly as it is stated so we may have a better idea of what is going on.

 

[naeagle]

A model solid (cylindrical shape) has a scale of 1cm=30cm. If the model has a radius of 3.5 cm, find the volume of the actual solid.

 

[galactus]

I think what they want you to do is see how many more times the volume is of the actual compared to the model.

Since the scale is 1:30, then the actual radius is (3.5)*30=105 and its height is 30h.

The models volume is \(\displaystyle V={\pi}(\frac{7}{2})^{2}h\)

The actual is \(\displaystyle V={\pi}(105)^{2}(30h)\)

Take the ratio:

\(\displaystyle \frac{{\pi}(105)^{2}(30h)}{{\pi}(\frac{7}{2})^{2}h}\)

I will leave you finish. How many more times is the volume of the actual over the model?.

 

[naeagle]

I've realized that it is 900.? for how many times the model is smaller than the actual but I can't find the exact number of how many times it is smaller.