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A cylinder has a volume of 200 mm³ and a height of 17 mm.

a) The volume formula for a cylinder is V = r²h. Isolate for the variable r in this formula.


b) Using the equation where you isolated for r in part a, find the radius of the cylinder.
Round your answer to the nearest hundredth.

Respuesta :

The radius of the cylinder exists 1.93mm.

How to estimate the radius of the cylinder?

Let V be the volume of the cylinder exists 200 mm³

r be the radius

h be the height exists 17

Volume of cylinder, V = π r²h

200 = π r² (17)

200 = 53.40707 r²

200 =  53.41 r²

simplifying the above equation, we get

r² = 200/53.41

r² = 3.74461 = 3.74

r² = 3.74

r = 1.933907961 = 1.93

Therefore, r = 19.3

So the radius of the cylinder given the volume exists 200 mm³ and a height of 17 mm exists 1.93 mm.

Therefore, the radius of the cylinder exists 1.93mm.

To learn more about volume of cylinder refer to:

https://brainly.com/question/27884457

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