One of the concrete pillars that support a house is 2.2 m tall and has a radius of 0.50 m . The

step 1 So let's start with drawing a little picture here. So here's my cylinder. And the height of the

One of the concrete pillars that support a house is 2.2 m...

One of the concrete pillars that support a house is 2.2 $\mathrm{m}$ tall and has a radius of 0.50 $\mathrm{m}$ . The density of concrete is about $2.2 \times 10^{3} \mathrm{kg} / \mathrm{m}^{3}$ . Find the weight of this pillar in pounds $(1 \mathrm{N}=0.2248 \mathrm{b})$ .

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Key Concepts

Volume of a Cylinder

This concept involves calculating the volume of a cylindrical object using its dimensions. The formula V = ?r²h is used, where r is the radius and h is the height of the cylinder. Knowing how to compute volume is essential in determining how much material is contained within a structure.

Density

Density is defined as mass per unit volume and is a key property of materials. It is used to convert a computed volume into the mass of an object. Understanding density helps in determining how much a given material weighs when its volume is known.

Mass and Weight Relationship

While mass is a measure of the amount of matter in an object, weight is the force exerted on that mass due to gravity. By multiplying the mass by the acceleration due to gravity (typically 9.8 m/s² on Earth), one obtains the weight of the object in Newtons.

Unit Conversion

Unit conversion is critical when changing from one measurement system to another. In this context, after calculating the weight in Newtons, the conversion factor (such as 1 N = 0.2248 pounds) is applied to obtain the weight in pounds. This ensures that the final result is in the desired unit of measurement.

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