# Cups A and B are cone shaped and have heights of #32 cm# and #14 cm# and openings with radii of #15 cm# and #12 cm#, respectively. If cup B is full and its contents are poured into cup A, will cup A overflow? If not how high will cup A be filled?

height =

So A will not overflow, but how high will the water reach?

The water in A and the whole cup A are similar figures. Therefore we can compare the ratio of the cubes of the heights with the ratio of their volumes.

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Cup A's height will be 7.68cm

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a. not overflow

b. height of cup A = 8.96cm

so, cup A wont overflow because it is bigger than cup B.

let say T is the height of cup A when content in cup B poured to cup A.

Va = Vb

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No, cup A will not overflow when the contents of cup B are poured into it. Cup A will be filled to a height of 14.2 cm.

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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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