Advertisement
Advertisement

Disc Method Calculator

Advertisement
Advertisement
Advertisement
Advertisement

Result:

Input:
Answers:
Integral Steps:

More Calculators

Integral Calculator icon

Integral Calculator

View Tool
Double Integral Calculator icon

Double Integral Calculator

View Tool
Triple Integral Calculator icon

Triple Integral Calculator

View Tool
Definite Integral Calculator icon

Definite Integral Calculator

View Tool
Indefinite Integral Calculator icon

Indefinite Integral Calculator

View Tool
Shell Method Calculator icon

Shell Method Calculator

View Tool
Washer Method Calculator icon

Washer Method Calculator

View Tool
Disc Method Calculator icon

Disc Method Calculator

View Tool
Laplace Transform Calculator icon

Laplace Transform Calculator

View Tool
Fourier Transform Calculator icon

Fourier Transform Calculator

View Tool
Improper Integral Calculator icon

Improper Integral Calculator

View Tool
Integration by Partial Fractions Calculator icon

Integration by Partial Fractions Calculator

View Tool

Introduction to Disk Method Calculator

Disc method calculator is an online calculator which helps you to calculates the solid of revolution’s volume in seconds. Online disk method calculator uses disk method formula to compute complex problems. If you are facing trouble with any disk method problem, you can use this disc calculator, which will assist you to calculate your given function in no time. To continue, you must read the basics and disc method formula used by the disc integration calculator.

You can also use cylindrical shells method calculator to calculate the volume of revolution when integrating along perpendicular to the axis of revolution. And washer method solver to find the volume of solid of revolution online.

When a two-dimensional shape circles around a line or axis, tri solids of revolution are formed. The disc technique is named after the fact that all solids of revolution contain circular discs and cross-sections. Cones, Cylinders, and spheres are some instances of solids of revolution.

The disc method is similar to how an egg slicer works. An egg slicer slices a hard-boiled egg into discs. You can reassemble the egg by stacking those pieces on top of one another. The disc method divides a solid into insignificantly thin discs using mathematics.

The slices are always perpendicular to the x-axis for a period of revolution around the x-axis. The area of each slice is determined using the disc approach. Then, using integration, it sums up all of those areas across the length of the solid, producing the solid's volume.

Related: Find useful blogs on this website to learn what is integration and what is integral of fraction.

What is an online disk calculator and how does it work?

The disk washer method calculator uses the exact disc method and disc method formula to determine the cross sectional area and volume of revolution of a variety of various shapes.

Method of disks calculator works completely online. It takes the equation from the user in the form of input and calculate it to show the accurate results free online.

Related: To find definite integrals and indefinite integrals use our integral calculator definite and find the indefinite integral calculator to easily solve step by step.

The disc method work same like the volume by shell or washer method.

So, here you learn how it takes input and generates output using given information:

Input:

  • Enter upper and lower function.
  • Select upper and lower limit from dropdown menu.
  • Now, click on the calculate button.

Output:

Once you added the correct equation in the inputs, the disk method calculator will calculate volume of revolution instantly. In the results section,

  • It shows the given function as it is.
  • It generates definite and indefinite integrals.
  • Then it calculates integration of input functions by using different methods.

Technology has made it easier for everyone to learn online. That is a place where online calculators help the most. Find out the major benefits of using integration calculators.

Disc Method formula used by online Disk Calculator

$$Volume \;=\;π \int_a^b \;R^2dx$$

Solved examples:

Find Volume of following function by using disk method:

$$π\int_{-3}^2[(x-2)^2\;-\;(-2)^2]dx$$

Solution:

Indefinite integral:

$$-\frac{π(12x-(x-2)^3)}{3}\;+\;Constant$$

Definite Integral:

$$-\frac{65π}{3}\;≈\;-68.068$$

Conclusion:

Disc methodd calculator makes it easy for students as well as other people to find out volumes of revolution without any real time issues. If we calculate manually, it takes too much effort and time. Sometimes in short answer questions and multiple choices, students have no time to calculate each question by hand. This disk method calculator can help you every time you need it. Make use of it and let us know what you think about it in the comments section below!

Related: We also provide laplace transformation calculator and fourier transformation calculator to convert a signal into complex planes s and to convert the same signal into jw plane easily.

FAQ’s:

In calculus, what exactly is the disc method?

Answer: Disc integration, commonly known as the disc method in integral calculus, is a method for estimating the volume of a steady material's solid of revolution when trying to integrate with an axis parallel to the revolution axis.

Who came up with the disc technique?

Answer: Sal Khan designed it. Using the disc approach, you may find the solid of revolution (made by rotating around the x-axis).

Is the procedure of using a disc and a washer identical?

Answer: A washer is a disc with a hole punched out in the middle. Both an inner radius r1 and an outer radius r2 are required in the formula for a washer's volume. It takes the limit when the number of slices grows infinite yields the exact volume formula, as it did previously.

What is the solid's volume?

Answer: A solid's volume is an indicator of how much space it occupies. The number of unit cubes needed to fill the solid is used to calculate it.

To find the volume of slice of a solid use washer method calculator step by step.

Which of the following objects is a rotating solid?

Answer: A solid of revolution is a solid object made by rotating a plane curve along a straight line (the revolution axes) that present in the original plane in engineering, mathematics, and production.

Hope you liked our tools. Integral calculator website also provide other tools related to integration. You can esily calculate Double and Triple integrands step by step by using our double integral calculator with steps free and online triple integral calculator.

Alan Walker

Alan Walker

Last Updated November 18, 2021

I am Mathematician, Tech geek and a content writer. I love solving patterns of different math queries and write in a way that anyone can understand. Math and Technology has done its part and now its the time for us to get benefits from it.