Cups A and B are cone shaped and have heights of $28 cm$ and $23 cm$ and openings with radii of $6 cm$ 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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Cups A and B are cone shaped and have heights of $28 cm$ and $23 cm$ and openings with radii of $6 cm$ 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 · 2016-03-08T10:41:37

cup A will overflow.

Explanation:

Volume (V) of cone = $1/3pir^2h$
where h represents height and r , the radius.

$V_A = 1/3pixx6^2xx28 = 336pi ≈ 1055.575 " cubic cm "$

and $V_B = 1/3pixx12^2xx23 = 1104pi ≈ 3468.318 " cubic cm "$

since $V_B > V_A " cup A will overflow "$

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Cups A and B are cone shaped and have heights of $28 cm$ and $23 cm$ and openings with radii of $6 cm$ 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?

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 28 cm28 cm and 23 cm23 cm and openings with radii of 6 cm6 cm and 12 cm12 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 $28 cm$ and $23 cm$ and openings with radii of $6 cm$ 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?