How does the Volume Of Revolution Calculator work?

Disk method: V = π ∫ [R(x)]² dx (rotate around x-axis) Then: Shell method: V = 2π ∫ x × f(x) dx Then: Washer method: V = π ∫ ([R(x)]² - [r(x)]²) dx Then: Fubini's theorem: switch methods if one difficult.

Can you give an example of how to use the Volume Of Revolution Calculator?

Example: Input y=x, 0-2, x-axis gives a result of V=8π/3.

Is the Volume Of Revolution Calculator free to use?

Yes — completely free with no registration, download, or subscription required. All calculations happen instantly in your browser.

How accurate is the Volume Of Revolution Calculator?

Our Volume Of Revolution Calculator uses verified mathematical formulas and is accurate to multiple decimal places. Results are calculated in real-time using the same methods used by professionals.

Matematiikka

Volume Of Revolution Calculator

Volume of Revolution (Pappus)

Area of generating region

Distance traveled by centroid

Calculates volume when region rotates around axis creating 3D shape.

Symbol	Name	Unit	Description
V	π ∫ ([R(x)]² - [r(x)]²) dx	—	π ∫ ([R(x)]² - [r(x)]²) dx
R	R value	—	Variable used in the calculation

Difficulty:advanced

⭐

Did You Know?

Volume of revolution elegantly shown: rotating f(x) around x-axis from 0 to 1 gives specific volume.

References

›Volume of Revolution

🔒

100% Ilmainen

Ei rekisteröintiä

✓

Tarkka

Vahvistetut kaavat

⚡

Välitön

Tulokset heti

📱

Mobiiliystävällinen

Kaikki laitteet

Volume Of Revolution Calculator

Volume of Revolution (Pappus)

Mikä on Volume Of Revolution Calculator?

Kaava

Muuttujan selitys

Kuinka Volume Of Revolution Calculator

Ratkaistut esimerkit

Käytännön sovellukset

Usein kysytyt kysymykset

Yleisiä virheitä vältettäväksi

Asetukset

Volume of Revolution (Pappus)