## Introduction to Disk Method Calculator:

Disk method Calculator is an amazing tool that helps you **evaluate the volume** of a cylindrical shape in a cross-sectional area. It is used to find the volume of a sphere that is rotating along a perpendicular axis.

The disc method calculator is the best online source for students, professionals, or teachers because they want a reliable tool that gives them an accurate solution to disk method problems without any man-made mistakes.

## What is Disk Method?

Disk method is a process of finding the volume of a sphere that is rotating along a perpendicular axis in a **cross-sectional area** in three dimensions. It is used to find the rotational mass of a solid at the perpendicular axis of rotation for circular shapes.

The formula of the disk method uses the definite integral that represents the given area as bounded over an interval [a, b] and π is the constant term. The disk washer method calculator uses the following formula to solve complex problems,

$$ V \;=\; \pi \int_a^b [f(x)]^2 dx $$

## How to Find Volume Using the Disk Method?

The disk washer calculator is used to **find the volume** of rotation of a cross-sectional area with the help of the integration method. If you solve the volume of a rotating sphere without using the disk method it would be difficult for you to get a solution. That means the disk method gives a way to easily solve the volume of a sphere in 3-D space.

Now let us see an example of the volume of a rotating disk with a solution to give you a clear understanding of disk method calculation. The disk method calculator can help you solve the volume of the cylindrical shape in seconds. So an example is given below,

**Example**: Find the volume of solid formed by revolving the curve y = 1/x from x = 1 to x = 2 around the x-axis.

**Solution**:

Step 1:

**Identify the Function **f(x) or g(y)and the Interval[a,b] on which it is being rotated in the given region.

f(x) = 1/x and interval a = 1 and b = 2.

**Step 2**:

The disk method formula is,

$$ V \;=\; \pi \int_a^b [f(x)]^2 dx $$

**Step 3**:

Put the function and the limit values in the above disk formula such as,

$$ =\; \pi \int_1^2 \biggr(\frac{1}{x} \biggr)^2 dx $$

**Step 4**:

Simplify the above expression to make the integration process smooth,

$$ =\; \int_1^2 \frac{1}{x^2} dx $$

**Step 5**:

Integrate the given function with respect to integration variable x.

$$ =\; \pi \left[ -\frac{1}{x} \right] \biggr|_1^2 $$

**Step 6**:

Apply the upper and lower limits to the given disk method problem.

$$ =\; \pi \left[ -\frac{1}{2} - (-1) \right] $$

$$ =\; \frac{\pi}{2} units^3 $$

## How to Use the Disk Method Calculator?

The disc method calculator has a simple layout that helps you to evaluate the volume of a rotational sphere of the given region. Here are some simple steps that you should follow:

- Enter the function f(x) for which you want to evaluate the volume of cross-sectional area in the input field.
- Enter the integration variable of a disk method in the input field.
- Add the upper and the lower limit of the disk method in the next input box.
- Review the given disk method problem before hitting the calculate button to start the evaluation process in the disk washer method calculator.
- Click the “
**Calculate**” button to get the result of your given disk method problem. - If you are trying our volume of a disk calculator for the first time then you can use the load example to learn more about this method.
- Click on the “Recalculate” button to get a new page for getting more solutions of disk method problems.

## Output from Disc Method Calculator:

Disk method calculator with steps gives you the **solution** from the given input value and provides you solution in the following form:

**Result Option**:

When you click on the result option the volume of the disk calculator gives you a solution of the given problem.

**Possible Steps**:

When you click on it, this option will provide you with the step by step solution where all the calculations of the disk method process are mentioned.

## Useful Features of Disk Washer Method Calculator:

The disk washer calculator gives you many benefits that help you to evaluate the volume of rotation of a sphere in cross-section area. You just need to put the input values. The advantages of this tool are:

- The disc method calculator is a
**free-of-cost tool**so you can use it for free to find disk method problems. - It is an adaptable tool that can manage various types of volume rotation in a given region.
- When you use it to practice multiple examples, our volume of a disk calculator helps you to get conceptual clarity about the disk method process .
- It is a swift tool that gives you solutions of disk method problems no matter how difficult the problem is.
- The volume of disk calculator is a reliable tool that calculate the disk method and provides you with correct solutions.
- You can use the disk method calculator without signup which means it can be used multiple times in a day.