# Cups A and B are cone shaped and have heights of #28 cm# and #23 cm# and openings with radii of #6 cm# and #9 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?

cup A will overflow.

The first step here is to calculate the volume (V) of the 2 cups using

Since 1950.929 > 1055.575 , then cup A will overflow.

By signing up, you agree to our Terms of Service and Privacy Policy

No, cup A will not overflow. When cup B is poured into cup A, the volume of cup B will be contained within cup A without overflowing. The height to which cup A will be filled can be calculated by finding the volume of cup B and then finding how much that volume will increase the height of cup A. The volume of a cone is given by the formula V = (1/3)πr²h, where r is the radius and h is the height.

Volume of cup A = (1/3)π(6 cm)²(28 cm) Volume of cup B = (1/3)π(9 cm)²(23 cm)

When the contents of cup B are poured into cup A, the total volume in cup A becomes the sum of the volumes of cup A and cup B.

Height of cup A after pouring = Volume of cup A + Volume of cup B / (π(6 cm)²)

Calculate the volumes and perform the calculation to find the height of cup A after pouring.

By signing up, you agree to our Terms of Service and Privacy Policy

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.

- What is the formula for the surface area of a right triangle?
- If the diameter is #"9 cm"#, what is the radius?
- A cone has a height of #7 cm# and its base has a radius of #5 cm#. If the cone is horizontally cut into two segments #3 cm# from the base, what would the surface area of the bottom segment be?
- If a semi circle has a diameter of 4cm then what is the perimeter?
- A solid consists of a cone on top of a cylinder with a radius equal to that of the cone. The height of the cone is #36 # and the height of the cylinder is #4 #. If the volume of the solid is #144 pi#, what is the area of the base of the cylinder?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7