Question

A hose dispenses 1,413 cm³ of water every minute into a cone with a radius of 60 cm and a height of 150 cm. How long will it take to fill the cone? Use 3.14 to approximate pi. Enter your answer in the box.

Answer 1

This questions asks you to find how that how long will it take until to fill the cone if 1,413
`cm^(3)` of water goes in it every minute.

First, you have to find the volume of the cone:

V = 1/3 r^2 Pi * h

V = 1/3 * 60^2 * 150

V = 1/3 * 36000 * 471

V = 565, 200
`cm^(3)`

If 1,413
`cm^(3)` of water goes every minute into the cone, you will have to divide the volume by 1413 : 565, 200:1413 = 400

Therefore, it will take 400 minutes.