Cups A and B are cone shaped and have heights of $32 cm$ and $24 cm$ and openings with radii of $12 cm$ and $8 cm$ , 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 $32 cm$ and $24 cm$ and openings with radii of $12 cm$ and $8 cm$ , 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 · 2016-08-05T03:23:08

$=10.67$ cm

Explanation:

Total volume of cup $B=pir^2h=pi(8)^2(24)$
So we have to find $H=?$ the height in Cup $A$ which will have content of same volume as volume of Cup $B$
$pi(12)^2(H)=pi(8)^2(24)$
or
$H=(8^2/12^2)(24)=10.67$

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Cups A and B are cone shaped and have heights of $32 cm$ and $24 cm$ and openings with radii of $12 cm$ and $8 cm$ , 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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Science

Math

Humanities

... and beyond

Cups A and B are cone shaped and have heights of 32 cm32 cm and 24 cm24 cm and openings with radii of 12 cm12 cm and 8 cm8 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

Cups A and B are cone shaped and have heights of $32 cm$ and $24 cm$ and openings with radii of $12 cm$ and $8 cm$ , 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?