A cone-shaped paper water cup has a height of 12 cm and a radius of 6 cm. If the cup is filled with water to one-sixth its hei

Question

1 year ago

6

ght, what portion of the volume of the cup is filled with water?

1 answer:

Liono4ka [1.6K] · Answer 1 · 2023-10-12T04:09:02+03:00

Answer:

1/216

Step-by-step explanation:

The ratio of volumes of similar shapes is the cube of the scale factor. The filled portion of the cone is similar to the entire cone.

<h3>Linear scale factor</h3>

If the filled height is 1/6 of the total height, the scale factor for linear dimensions is 1/6.

<h3>Volume scale factor</h3>

The scale factor for the volume is the cube of the scale factor for linear dimensions. it is ...

(1/6)³ = 1/216

The volume of the filled portion of the cup is 1/216 of the volume of the cup.

A​ cone-shaped paper water cup has a height of 12 cm and a radius of 6 cm. If the cup is filled with water to one-sixth its​ hei