Question

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?

Answer 1

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.