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Volume by Disk Method Calculator
Find the volume of a solid of revolution about the x axis for f(x) = ax2 + bx + c using the disk method.
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Volume
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Find the volume of a solid of revolution about the x axis for f(x) = ax2 + bx + c using the disk method.
Volume by Disk Method Estimator
Enter your numbers below for an instant estimate.
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💡 Tip: V = pi x integral of [f(x)]² dx from a to b.
How It Works
Key concepts behind this calculator
1
Enter Values
Fill in each field with your own numbers.
2
Calculate
Results update as you change the inputs.
3
Review
Read the breakdown and the explanation.
4
Adjust
Change values to compare scenarios.
Quick Reference Guide
Volume Quick Guide
Typical values for reference.
| f(x) | Limits | Spare | Volume |
|---|---|---|---|
| 1x² | 0 to 1 | – | 0.6283 |
| 1x² | 0 to 2 | – | 20.1062 |
| 1x | 0 to 3 | – | 28.2743 |
| 2 | 0 to 5 | – | 62.8319 |
| Rule of Thumb | Check inputs | Use as a guide | Round sensibly |
Common Questions
Volume by Disk Calculator FAQ
Answers to common questions about this calculator.
Slicing a solid into thin disks of radius f(x).
V = pi times the integral of f squared.
When the solid has a hole.
The x axis here.