Cups A and B are cone shaped and have heights of #29 cm# and #33 cm# and openings with radii of #7 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?

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Answer 1 · 2018-07-30T00:17:34

Cup A will overflow

Volume of a cone # = 1/3 pi r^2h#

#V_A = 1/3*(7^2)*29 " cc"#

# = 473.667 " cc"#

#V_B = 1/3*(12^2)*33 " cc"#

# = 1584 " cc"#

Cup B holds 1110.333 cc more than cup A so cup A will overflow.

Note:
cc #=# cubic centimeters.
#1"cc" = 1ml#