A hose dispenses 1413 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.



Answer :

The question asks to find how long will it take until to fill the cone if 1413 cm^3 of water goes in it every minute. First we have to find the volume of the cone: V = 1/3 r^2 Pi * h; V = 1/3 * 60^2 * 3.14 * 150 ; V = 1/3 * 3600 * 471; V = 565,200 cm^3. If 1413 cm^3 of water goes every minute into the cone, we have to divide the volume by 1413: 565,200 : 1413 = 400. Answer: It will take 400 minutes.

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