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Here, pi = 3.14, r=radius, h=height. Closed cylinder : VOL: pi*r*r*h SA: 2*pi*r*h + 2*pi*r*r (essentially, one "side" of cylinder and top + bottom circles) Open-topped cylinder: VOL: same as above SA: 4*pi*r*h + pi*r*r (two "sides" to cylinder now but only bottom circle remains) Both-ends open cylinder: VOL: same as above (though such a object won't retain anything) SA: 4*pi*r*h (only two "sides" to cylinder)

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15y ago
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14y ago

You use the formula for surface area divided by the formula for volume and simplify.

Surface area of a cylinder= 2 pi r2 + 2 pi r h

The volume is pi * r2 * h

So the ratio is (2 pi r2 + 2 pi r h)/(pi * r2 * h)

All that is left is to simplify by factoring out an r and Pi for example.

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Q: How do you find the ratio of surface area to volume for cylinder?
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