Cups A and B are cone shaped and have heights of 35 cm and 21 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
Jan 12, 2018

Cup A will overflow

Explanation:

To find the quantity inside a cup, we need to find the volume.

and Volume of cone = 1/3pir^2h

So volume of cup B = 1/3 xx22/7xx11^2xx21 = 2662cm^3

Now, this 2662cm^3 is poured into cupA

Now, volume of cup A = 1/3 xx22/7xx7^2xx35 = 1796.6 cm^3

We can observe that volume of cup A is smaller than that of cup B.

So, cup A will overflow when contents of cup B are poured into cup A.