Cups A and B are cone shaped and have heights of $12 c m$ $12 cm$ and $15 c m$ $15 cm$ and openings with radii of $5 c m$ $5 cm$ and $8 c m$ $8 cm$ , 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 · 2017-04-06T00:17:50

You must find the volume of each cup

Cup A Area

$V=πr^2 h/3$
$V=π5^2 12/3$
$V=π25*4$
$V=78.539*4$
$V=78.539*4$
$V = 314.156cm^3$

Cup B Area

$V=π8^2 15/3$
$V=π64 *5$
$V=201.062 *5$
$V= 1008.01cm^3$

Therefore, Cup A will overflow as the volume or how much water cup B contains is more than the volume of Cup A

Cups A and B are cone shaped and have heights of 12 cm12cm12 cm and 15 cm15cm15 cm and openings with radii of 5 cm5cm5 cm and 8 cm8cm8 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?