Volume of a SOLID of REVOLUTION (Around X-axis, DISK Method) | Example 1

Опубликовано: 19 Август 2026
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Calculate the volume of the solid obtained by rotating the region bounded by the curve around the x-axis. Disk Method (Circular Cross-Sectional Areas) with graph in GeoGebra.

⏮️ Previous:    • Calcular el valor de c, tal que el ÁREA de...  
⏭️ Next:    • Volumen de SÓLIDO de REVOLUCIÓN (Alrededor...  
▶️ More examples:    • Áreas y Volúmenes usando Integrales  
❇️ ANSWERS:    • 💎 Volumen de SÓLIDO de REVOLUCIÓN (Alreded...  

00:00 Introduction to the volume of solids of revolution
00:48 Explanation of the Disk Method
01:12 Graphing the functions and region to be rotated
01:54 Visualizing the solid in 3D
02:23 Integral formula for the volume
02:51 Determining the radius of the disk
04:37 Setting up the definite integral
05:03 Solving the integral (Complete the (differential)
07:14 Evaluating the limits of integration
08:14 Final result in cubic units
09:23 Practice exercise for the viewer

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