Cups A and B are cone shaped and have heights of $29 cm$ and $28 cm$ and openings with radii of $7 cm$ 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 $29 cm$ and $28 cm$ and openings with radii of $7 cm$ 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 · 2016-03-27T20:38:43

overflow

Explanation:

Require to calculate the volume of both cones using

$V = 1/3pir^2h , " h is height and " r ," the radius"$

$V_A = 1/3 xxpixx7^2xx29 ≈ 1488.07" cubic cm "$

$V_B = 1/3xxpixx11^2xx28 ≈ 3547.905" cubic cm "$

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

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Cups A and B are cone shaped and have heights of $29 cm$ and $28 cm$ and openings with radii of $7 cm$ 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:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

Cups A and B are cone shaped and have heights of 29 cm29 cm and 28 cm28 cm and openings with radii of 7 cm7 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:

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Impact of this question

Cups A and B are cone shaped and have heights of $29 cm$ and $28 cm$ and openings with radii of $7 cm$ 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?