Cups A and B are cone shaped and have heights of $22 cm$ and $25 cm$ and openings with radii of $6 cm$ 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?

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Cups A and B are cone shaped and have heights of $22 cm$ and $25 cm$ and openings with radii of $6 cm$ 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?

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Answer 1 · 2016-09-05T09:56:17

Cup A will overflow.

Explanation:

cone volume $=pir^2(h/3)$
where r=radius, h=height
Cup B volume = $pi11^2(25/3)=3167.8$
Cup A volume = $pi6^2(22/3)=829.4 < 3167.8$
=> Cup A will overflow

Since Cup B has a greater height and radius than Cup A does, we know that Cup B has a bigger volume than Cup A. Hope this helps.

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Cups A and B are cone shaped and have heights of $22 cm$ and $25 cm$ and openings with radii of $6 cm$ 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

Explanation:

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Impact of this question

Science

Math

Humanities

... and beyond

Cups A and B are cone shaped and have heights of 22 cm22 cm and 25 cm25 cm and openings with radii of 6 cm6 cm and 11 cm11 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

Explanation:

Related questions

Impact of this question

Cups A and B are cone shaped and have heights of $22 cm$ and $25 cm$ and openings with radii of $6 cm$ 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?