Arithmetic Grade Six

Lesson One Hundred Seventy-five: Volume and Weight


The weight of the contents of a cylinder can be figured out in basically the same way. First you find the volume of the cylinder and then you multiply the volume by the weight of the contents per cubic unit. Here's an example: 


	Height of cylinder: 10 feet
	Radius of cylinder: 2 feet
	Weight of Filling: 10 pounds per cubic foot

	STEP ONE: Find Volume
	  V = 10 * 3.14 * 22 = 125.6 cubic feet

	STEP TWO: Find Total Weight of Filling
	  Wt = 125.6 cubic feet * 10 pounds per cubic foot = 1256 pounds
Here's another example: 

	Height of cylinder: 8 feet
	Radius of cylinder: 3 feet
	Weight of Filling: 20 pounds per cubic foot

	STEP ONE: Find Volume
	  V = 8 * 3.14 * 32 = 226.08 cubic feet

	STEP TWO: Find Total Weight of Filling
	  Wt = 226.08 cubic feet * 20 pounds per cubic foot = 4521.6 pounds

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