**What is Washer Method?**

This process is a logical extension of the disk method for determining the volumes of the solids of revolution. Use the Washer Method to set up the definite and indefinite integral that provides the volume of the revolution. The washer method is **used to discover the volume enclosed between two functions**. In this method, we cut the region of revolution perpendicular to the axis of revolution. We call it as Washer Method because the slices got in this way form washers. Washer Method Calculator is tool used to discover the volume enclosed between two functions

**Washer Method Formula**

A washer is the same as a disk but with a center, the hole cut out. The formula of volume of a washer requires both an outer radius r^1 and an inner radius r^2.

The single washer volume formula is:

$$ V = π (r_2^2 – r_1^2) h = π (f (x)^2 – g (x)^2) dx $$

The exact volume formula arises from taking a limit as the number of slices becomes infinite.

Formula for washer method V = π ∫_a^b [f (x)^2 – g (x)^2] dx

= | distance between the function and the axis of rotation | |

= | upper limit | |

= | lower limit | |

= | slides along x |

**How Washer Method Calculator Works?**

An online washer calculation finds the definite and indefinite integral of the volume of revolution

**Input:**

- First, Enter the value for the functions f (x) and g (x)
- Now, substitute the upper and lower limit.
- Hit the calculate button for results.

**Output:**

- The “washer” method calculator provides the definite and indefinite integral of given functions.
- The calculator does step-by-step calculations with different methods.

Substitute the a = 0 and b = 1 in the washer method equation.

$$ V = π ∫_a^b [f (x)^2 – g (x)^2] dx $$

$$ V = π ∫_0^1 [ (x)^2 – (x^2)^2] dx $$

$$ V = π ∫_0^1 [ (x)^2 – (x)^4] dx $$

$$ V = π ∫_0^1 [(x)^2 – (x)^4] dx $$

$$ V = π [(x)^3 / 3 – (x)^5 / 5]^1_0 $$

$$ V = 2 π / 15 $$

#### Area of a “washer”

### Volume of a torus

#### Revolution of an area between two 2D curves to form a solid

#### Revolution about an off-axis line

### Washer method: revolving around x- or y-axis

washer method calculator y axis

washer method calculator x axis

washer method calculator with steps

washer method calculator emath

### FAQ

How do you do the washer method?

How do I find the volume of a washer?

How do you do disk and washer method?

How do you do disk and washer method?

How do you know when to use the washer method?

How many integrals would be required in the disk method?

What is a washer in math?

What is the Shell method formula?