Radius of Cylinder given Volume Calculator

✖Volume of Cylinder is the total quantity of three dimensional space enclosed by the entire surface of the Cylinder.ⓘ Volume of Cylinder [V]			+10% -10%
✖Height of Cylinder is the longest vertical distance from the bottom circular face to the top circular face of the Cylinder.ⓘ Height of Cylinder [h]			+10% -10%

✖Radius of Cylinder is the distance between the center and any point on the circumference of the circular faces of the Cylinder.ⓘ Radius of Cylinder given Volume [r]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Cylinder Formula PDF PDF Image

Radius of Cylinder given Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radius of Cylinder = sqrt(Volume of Cylinder/(pi*Height of Cylinder))
r = sqrt(V/(pi*h))
This formula uses 1 Constants, 1 Functions, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Radius of Cylinder - (Measured in Meter) - Radius of Cylinder is the distance between the center and any point on the circumference of the circular faces of the Cylinder.
Volume of Cylinder - (Measured in Cubic Meter) - Volume of Cylinder is the total quantity of three dimensional space enclosed by the entire surface of the Cylinder.
Height of Cylinder - (Measured in Meter) - Height of Cylinder is the longest vertical distance from the bottom circular face to the top circular face of the Cylinder.

STEP 1: Convert Input(s) to Base Unit

Volume of Cylinder: 940 Cubic Meter --> 940 Cubic Meter No Conversion Required
Height of Cylinder: 12 Meter --> 12 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r = sqrt(V/(pi*h)) --> sqrt(940/(pi*12))

Evaluating ... ...

r = 4.99342311623302

STEP 3: Convert Result to Output's Unit

4.99342311623302 Meter --> No Conversion Required

FINAL ANSWER

4.99342311623302 ≈ 4.993423 Meter <-- Radius of Cylinder

(Calculation completed in 00.021 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » Cylinder » Radius of Cylinder » Radius of Cylinder given Volume

Credits

Created by Dhruv Walia

Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand

Dhruv Walia has created this Calculator and 1100+ more calculators!

Verified by Nayana Phulphagar

Institute of Chartered and Financial Analysts of India National college (ICFAI National College), HUBLI

Nayana Phulphagar has verified this Calculator and 1500+ more calculators!

< Radius of Cylinder Calculators

Radius of Cylinder given Total Surface Area and Base Area

LaTeX Go Radius of Cylinder = (Total Surface Area of Cylinder-2*Base Area of Cylinder)/(2*pi*Height of Cylinder)

Radius of Cylinder given Volume

LaTeX Go Radius of Cylinder = sqrt(Volume of Cylinder/(pi*Height of Cylinder))

Radius of Cylinder given Lateral Surface Area

LaTeX Go Radius of Cylinder = Lateral Surface Area of Cylinder/(2*pi*Height of Cylinder)

Radius of Cylinder given Base Area

LaTeX Go Radius of Cylinder = sqrt(Base Area of Cylinder/pi)

< Radius of Cylinder Calculators

Radius of Cylinder given Total Surface Area and Base Area

LaTeX Go Radius of Cylinder = (Total Surface Area of Cylinder-2*Base Area of Cylinder)/(2*pi*Height of Cylinder)

Radius of Cylinder given Volume

LaTeX Go Radius of Cylinder = sqrt(Volume of Cylinder/(pi*Height of Cylinder))

Radius of Cylinder given Lateral Surface Area

LaTeX Go Radius of Cylinder = Lateral Surface Area of Cylinder/(2*pi*Height of Cylinder)

Radius of Cylinder given Volume Formula

LaTeX Go

Radius of Cylinder = sqrt(Volume of Cylinder/(pi*Height of Cylinder))
r = sqrt(V/(pi*h))

What is a Cylinder?

Cylinder is a three-dimensional solid that holds two parallel bases joined by a curved surface, at a fixed distance. These bases are normally circular in shape (like a circle) and the center of the two bases are joined by a line segment, which is called the axis. The perpendicular distance between the bases is the height, “h” and the distance from the axis to the outer surface is the radius “r” of the Cylinder.

How to Calculate Radius of Cylinder given Volume?

Radius of Cylinder given Volume calculator uses Radius of Cylinder = sqrt(Volume of Cylinder/(pi*Height of Cylinder)) to calculate the Radius of Cylinder, The Radius of Cylinder given Volume formula is defined as the distance between the center and any point on the circumference of the circular faces of the Cylinder and is calculated using the volume of the Cylinder. Radius of Cylinder is denoted by r symbol.

How to calculate Radius of Cylinder given Volume using this online calculator? To use this online calculator for Radius of Cylinder given Volume, enter Volume of Cylinder (V) & Height of Cylinder (h) and hit the calculate button. Here is how the Radius of Cylinder given Volume calculation can be explained with given input values -> 4.993423 = sqrt(940/(pi*12)).

FAQ

What is Radius of Cylinder given Volume?

The Radius of Cylinder given Volume formula is defined as the distance between the center and any point on the circumference of the circular faces of the Cylinder and is calculated using the volume of the Cylinder and is represented as r = sqrt(V/(pi*h)) or Radius of Cylinder = sqrt(Volume of Cylinder/(pi*Height of Cylinder)). Volume of Cylinder is the total quantity of three dimensional space enclosed by the entire surface of the Cylinder & Height of Cylinder is the longest vertical distance from the bottom circular face to the top circular face of the Cylinder.

How to calculate Radius of Cylinder given Volume?

The Radius of Cylinder given Volume formula is defined as the distance between the center and any point on the circumference of the circular faces of the Cylinder and is calculated using the volume of the Cylinder is calculated using Radius of Cylinder = sqrt(Volume of Cylinder/(pi*Height of Cylinder)). To calculate Radius of Cylinder given Volume, you need Volume of Cylinder (V) & Height of Cylinder (h). With our tool, you need to enter the respective value for Volume of Cylinder & Height of Cylinder and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Radius of Cylinder?

In this formula, Radius of Cylinder uses Volume of Cylinder & Height of Cylinder. We can use 3 other way(s) to calculate the same, which is/are as follows -

Radius of Cylinder = sqrt(Base Area of Cylinder/pi)
Radius of Cylinder = Lateral Surface Area of Cylinder/(2*pi*Height of Cylinder)
Radius of Cylinder = (Total Surface Area of Cylinder-2*Base Area of Cylinder)/(2*pi*Height of Cylinder)

Home

FREE PDFs

🔍 Search