# The volume of a cylinder is doubled without changing its height. How did its radius change?

see explanation

If the volume is doubled without changing its height

Dividing Eq. (2) by Eq. (1), we get

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If the volume of a cylinder is doubled without changing its height, its radius would need to be increased by a factor of (\sqrt{2}), approximately 1.414 times its original radius.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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