Cups A and B are cone shaped and have heights of #35 cm# and #23 cm# and openings with radii of #14 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
By signing up, you agree to our Terms of Service and Privacy Policy
Yes, cup A will overflow when the contents of cup B are poured into it. To find out how high cup A will be filled, you can calculate the volume of cup B's contents and compare it to the volume of cup A.
The volume of a cone can be calculated using the formula: ( V = \frac{1}{3} \pi r^2 h ), where ( r ) is the radius and ( h ) is the height.
First, calculate the volume of the contents of cup B using its dimensions. Then, compare this volume to the volume of cup A. If the volume of cup B's contents is greater than the remaining volume in cup A after pouring, cup A will overflow. Otherwise, cup A will be filled to the height of its remaining volume 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.
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.
- A pyramid has a base in the shape of a rhombus and a peak directly above the base's center. The pyramid's height is #4 #, its base's sides have lengths of #8 #, and its base has a corner with an angle of #(7 pi)/8 #. What is the pyramid's surface area?
- The base of a triangular pyramid is a triangle with corners at #(2 ,4 )#, #(3 ,2 )#, and #(5 ,5 )#. If the pyramid has a height of #5 #, what is the pyramid's volume?
- A pyramid has a base in the shape of a rhombus and a peak directly above the base's center. The pyramid's height is #8 #, its base has sides of length #4 #, and its base has a corner with an angle of #(3 pi)/8 #. What is the pyramid's surface area?
- A triangle has two corners with angles of # ( pi ) / 2 # and # ( 5 pi )/ 12 #. If one side of the triangle has a length of #9 #, what is the largest possible area of the triangle?
- What is the area of an equilateral triangle with a perimeter of 6 inches?

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