Cups A and B are cone shaped and have heights of $24 cm$ and $26 cm$ and openings with radii of $10 cm$ and $9 cm$ , 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 $24 cm$ and $26 cm$ and openings with radii of $10 cm$ and $9 cm$ , 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 · 2016-03-07T15:01:16

no overflow

Explanation:

Formula for volume of a cone $V=1/3*pi*r^2*h$
volume of 1st cone $V_A=1/3*pi*10^2*24$
volume of 2nd cone $V_B=1/3*pi*9^2*26$
volume of 2nd cone $V_A/V_B=(1/3*pi*10^2*24)/(1/3*pi*9^2*26)=400/351>1$
$:.V_A>V_B$
So the cup A will not over flow when contents of full of B is poured in A

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Cups A and B are cone shaped and have heights of $24 cm$ and $26 cm$ and openings with radii of $10 cm$ and $9 cm$ , 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 24 cm24 cm and 26 cm26 cm and openings with radii of 10 cm10 cm and 9 cm9 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 $24 cm$ and $26 cm$ and openings with radii of $10 cm$ and $9 cm$ , 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?