Cups A and B are cone shaped and have heights of #32 cm# and #21 cm# and openings with radii of #13 cm# and #11 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?
1 Answer
Jun 28, 2016
cup B contents when poured into cup A will not cause overflow. cup A will be filled up
Explanation:
Volume of cone is
Cup A:
Given
Volume of cup A is
Cup B:
Given
Volume of cup B is
As volume of cup B is less than cup A, when the full contents of cup B are poured into cup A, it will not overflow.
The filled portion in cup A is also in the form of a cone. To determine how high it is, assume height=h and radius = 13 for the filled cone part.
Volume =