Como Calcular O Peso De Um Cilindro Em Centímetros
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Reviewed by Calculator Editorial Team
Calculating the weight of a cylinder in centimeters involves measuring its dimensions and applying the appropriate formula. This guide explains the process step-by-step, including how to use our interactive calculator for quick results.
How to Calculate the Weight of a Cylinder
To determine the weight of a cylinder, you need to know its dimensions and the density of the material it's made from. Here's a simple step-by-step method:
- Measure the height (h) of the cylinder in centimeters.
- Measure the radius (r) of the cylinder's base in centimeters.
- Determine the density (ρ) of the material in grams per cubic centimeter (g/cm³).
- Calculate the volume using the formula for the volume of a cylinder.
- Multiply the volume by the density to get the weight in grams.
Our calculator automates these steps, providing accurate results in seconds.
The Formula Explained
The weight (W) of a cylinder can be calculated using the following formula:
W = π × r² × h × ρ
Where:
- W = Weight in grams
- π = Pi (approximately 3.14159)
- r = Radius of the cylinder in centimeters
- h = Height of the cylinder in centimeters
- ρ = Density of the material in grams per cubic centimeter
This formula combines the volume of the cylinder with the material's density to determine its weight.
Worked Example
Let's calculate the weight of a steel cylinder with the following dimensions:
- Radius (r) = 5 cm
- Height (h) = 10 cm
- Density (ρ) = 7.85 g/cm³ (for steel)
Using the formula:
W = π × (5)² × 10 × 7.85
W ≈ 3.14159 × 25 × 10 × 7.85
W ≈ 3.14159 × 250 × 7.85
W ≈ 3.14159 × 1962.5
W ≈ 6175.5 grams
So, the steel cylinder weighs approximately 6,175.5 grams.
Frequently Asked Questions
What units should I use for the cylinder dimensions?
All dimensions should be in centimeters for consistency with the formula. If you have measurements in other units, convert them to centimeters first.
How accurate is the weight calculation?
The calculation is accurate as long as you have precise measurements of the cylinder's dimensions and the correct density of the material. Small measurement errors can affect the final result.
Can I use this calculator for hollow cylinders?
This calculator is designed for solid cylinders. For hollow cylinders, you would need to subtract the weight of the removed material.