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The ratio would be 2:6 or 1:3 in its simplest form.
By definition, the volume of the cone is given by:
V = (1/3) (π) (r ^ 2) (h)
Substituting values we have:
V = (1/3) (π) ((4/2) ^ 2) (5)
V = (20/3) (π)
Then, the volume of the cylinder is:
Vc = 3 * V
Vc = 3 * (20/3) (π)
Vc = 20π
Answer:
the volume of the original cylinder jesse bought is:
Vc = 20π
I'm guessing the repeating part is 89 at the end, so that

Then





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An arguably quicker way without using geometric series:




A reflection over the Y-axis would be the flipped point or set of points across the y axis while still retaining the same distance from the y-axis.
:)