# Cups A and B are cone shaped and have heights of #27 cm# and #24 cm# and openings with radii of #7 cm# and #14 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?

Since volume of contents in cup A

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No, cup A will not overflow. Cup A will be filled to a height of approximately ( \frac{24}{27} ) of its total height, which is approximately ( \frac{24}{27} \times 27 ) cm, or 24 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.

- Two corners of a triangle have angles of # (7 pi )/ 12 # and # pi / 8 #. If one side of the triangle has a length of # 6 #, what is the longest possible perimeter of the triangle?
- A cone has a height of #12 cm# and its base has a radius of #6 cm#. If the cone is horizontally cut into two segments #9 cm# from the base, what would the surface area of the bottom segment be?
- What is the area of the rectangle?
- Two corners of a triangle have angles of # (5 pi )/ 12 # and # ( pi ) / 12 #. If one side of the triangle has a length of # 15 #, what is the longest possible perimeter of the triangle?
- A cylinder container 18 inches tall and a diameter of 12 inches is completely filled with vanilla, chocolate, and strawberry ice cream in a ratio of 32:1. What is the volume of strawberry ice cream in the container?

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