The conical water carrier - XP Math - Forums

 XP Math - Forums The conical water carrier

 06-21-2009 #1 dockyard   Join Date: Jun 2009 Posts: 1 The conical water carrier The figure shows a conical water carrier. it is filled to 25%. How high does the water reach? Last edited by Mr. Hui; 06-22-2009 at 07:38 AM..
07-04-2009   #2
MAS1

Join Date: Dec 2008
Posts: 249

Quote:
 Originally Posted by dockyard The figure shows a conical water carrier. it is filled to 25%. How high does the water reach?
The formula for the volume of a cone is:
V = (1/3)*pi*(r^2)*h

So the volume of the entire water carrier is:

V = (1/3)*pi*(16^2)*96 = 25,735.927 cm^3

If the carrier is only filled up to one-fourth of its volume then:

(1/4)*25,735.927 = 6433.982 cm^3

Then to solve for the height:

6433.982 = (1/3)*pi*(16^2)*h

h = 24 cm. So the water reaches up 24 cm in the carrier, or one-fourth the height of the carrier.

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