Question

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-third its​ height, what portion of the volume of the cup is filled with​ water?

Answer 1

Answer is 150.72 cu.cm.
Let’s find the total cone volume first
Cone volume formula is 1/3 pi r^2 height
We know r = 6
We know height is 12
We will use 3.24 for pi
So
(1/3) (3.14) (6^2) (12) = 452.16
Now we want to find 1/3 of the volume so divide that by 3
Amount of water is 150.72 cu.cm.
Problem solved