Kadia has a cylindrical cup that contains 22 oz of lemonade. She also had some cone shaped paper cups with the same height and r

Question

Olin

2 months ago

13

Kadia has a cylindrical cup that contains 22 oz of lemonade. She also had some cone shaped paper cups with the same height and r

adius as the cylindrical cup. How many cone shaped paper cups can she fill with the lemonade

Mathematics

1 answer:

Inessa [12.5K] · Answer 1 · 2026-03-25T12:16:47+03:00

Answer:She will manage to fill

3 cone-shaped paper cups with the lemonade.Step-by-step explanation:

From the information provided:Kadia owns a cylindrical cup containing 22 oz of lemonade.

She also possesses cone-shaped paper cups with the same height and radius as the cylindrical one.

To ascertain the number of cone-shaped paper cups she can fill with lemonade, we note that the volume of a cylinder is

Meanwhile, the volume of a cone is

=

$\pi r^2h$ Indicating the cone's volume is one-third of the cylinder's volume.

As the cone-shaped paper cups share the same height and radius as the cylindrical cup, it follows that one cone cup equals one-third of the cylindrical cup's capacity.

$\pi r^2h\times \frac{1}{3}$ Hence, 3 cone-shaped cups are equivalent to 1 cylindrical cup.

Given that Kadia's cylindrical cup holds 22 oz of lemonade, $\frac{1}{3}$

3 cone-shaped paper cups are necessary to accommodate the 22 oz of lemonade.

Consequently,

she can fill 3 cone-shaped paper cups with the lemonade.