## Volume of Cylinder given Diagonal and Radius Solution

STEP 0: Pre-Calculation Summary
Formula Used
V = pi*r^2*sqrt(d^2-(2*r)^2)
This formula uses 1 Constants, 1 Functions, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
sqrt - Square root function, sqrt(Number)
Variables Used
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.
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.
Diagonal of Cylinder - (Measured in Square Meter) - Diagonal of Cylinder is the distance between two opposite corners of a Cylinder.
STEP 1: Convert Input(s) to Base Unit
Radius of Cylinder: 5 Meter --> 5 Meter No Conversion Required
Diagonal of Cylinder: 16 Square Meter --> 16 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
V = pi*r^2*sqrt(d^2-(2*r)^2) --> pi*5^2*sqrt(16^2-(2*5)^2)
Evaluating ... ...
V = 980.961991672569
STEP 3: Convert Result to Output's Unit
980.961991672569 Cubic Meter --> No Conversion Required
980.961991672569 980.962 Cubic Meter <-- Volume of Cylinder
(Calculation completed in 00.004 seconds)
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## < 11 Volume of Cylinder Calculators

Volume of Cylinder given Total Surface Area and Radius
Volume of Cylinder given Surface to Volume Ratio and Height
Volume of Cylinder = pi*((2*Height of Cylinder)/((Height of Cylinder*Surface to Volume Ratio of Cylinder)-2))^2*Height of Cylinder
Volume of Cylinder given Surface to Volume Ratio and Radius
Volume of Cylinder given Perimeter and Height
Volume of Cylinder = pi*((Perimeter of Cylinder/2-Height of Cylinder)/(2*pi))^2*Height of Cylinder
Volume of Cylinder given Diagonal and Radius
Volume of Cylinder given Total Surface Area and Height
Volume of Cylinder = (Total Surface Area of Cylinder-2*Base Area of Cylinder)^2/(4*pi*Height of Cylinder)
Volume of Cylinder given Diagonal and Height
Volume of Cylinder = (pi*(Diagonal of Cylinder^2-Height of Cylinder^2)*Height of Cylinder)/4
Volume of Cylinder given Lateral Surface Area and Height
Volume of Cylinder = Lateral Surface Area of Cylinder^2/(4*pi*Height of Cylinder)
Volume of Cylinder
Volume of Cylinder = pi*Radius of Cylinder^2*Height of Cylinder
Volume of Cylinder given Lateral Surface Area and Radius
Volume of Cylinder = (Radius of Cylinder*Lateral Surface Area of Cylinder)/2
Volume of Cylinder given Base Area
Volume of Cylinder = Base Area of Cylinder*Height of Cylinder

## < 5 Volume of Cylinder Calculators

Volume of Cylinder given Diagonal and Radius
Volume of Cylinder given Total Surface Area and Height
Volume of Cylinder = (Total Surface Area of Cylinder-2*Base Area of Cylinder)^2/(4*pi*Height of Cylinder)
Volume of Cylinder given Lateral Surface Area and Height
Volume of Cylinder = Lateral Surface Area of Cylinder^2/(4*pi*Height of Cylinder)
Volume of Cylinder
Volume of Cylinder = pi*Radius of Cylinder^2*Height of Cylinder
Volume of Cylinder given Base Area
Volume of Cylinder = Base Area of Cylinder*Height of Cylinder

## Volume of Cylinder given Diagonal and Radius Formula

V = pi*r^2*sqrt(d^2-(2*r)^2)

## 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.

## What is Volume of a Circular Cylinder?

A cylinder is a solid composed of two congruent circles in parallel planes, their interiors, and all the line segments parallel to the segment containing the centers of both circles with endpoints on the circular regions. Volume of a Circular Cylinder is the amount of space it occupies. Like prisms, the volume is found by multiplying the area of one end of the cylinder (base) by its height.

## How to Calculate Volume of Cylinder given Diagonal and Radius?

Volume of Cylinder given Diagonal and Radius calculator uses Volume of Cylinder = pi*Radius of Cylinder^2*sqrt(Diagonal of Cylinder^2-(2*Radius of Cylinder)^2) to calculate the Volume of Cylinder, The Volume of Cylinder given Diagonal and Radius formula is defined as the total quantity of three-dimensional space enclosed by the entire surface of the Cylinder, and is calculated using the diagonal and radius of the Cylinder. Volume of Cylinder is denoted by V symbol.

How to calculate Volume of Cylinder given Diagonal and Radius using this online calculator? To use this online calculator for Volume of Cylinder given Diagonal and Radius, enter Radius of Cylinder (r) & Diagonal of Cylinder (d) and hit the calculate button. Here is how the Volume of Cylinder given Diagonal and Radius calculation can be explained with given input values -> 980.962 = pi*5^2*sqrt(16^2-(2*5)^2).

### FAQ

What is Volume of Cylinder given Diagonal and Radius?
The Volume of Cylinder given Diagonal and Radius formula is defined as the total quantity of three-dimensional space enclosed by the entire surface of the Cylinder, and is calculated using the diagonal and radius of the Cylinder and is represented as V = pi*r^2*sqrt(d^2-(2*r)^2) or Volume of Cylinder = pi*Radius of Cylinder^2*sqrt(Diagonal of Cylinder^2-(2*Radius of Cylinder)^2). Radius of Cylinder is the distance between the center and any point on the circumference of the circular faces of the Cylinder & Diagonal of Cylinder is the distance between two opposite corners of a Cylinder.
How to calculate Volume of Cylinder given Diagonal and Radius?
The Volume of Cylinder given Diagonal and Radius formula is defined as the total quantity of three-dimensional space enclosed by the entire surface of the Cylinder, and is calculated using the diagonal and radius of the Cylinder is calculated using Volume of Cylinder = pi*Radius of Cylinder^2*sqrt(Diagonal of Cylinder^2-(2*Radius of Cylinder)^2). To calculate Volume of Cylinder given Diagonal and Radius, you need Radius of Cylinder (r) & Diagonal of Cylinder (d). With our tool, you need to enter the respective value for Radius of Cylinder & Diagonal 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 Volume of Cylinder?
In this formula, Volume of Cylinder uses Radius of Cylinder & Diagonal of Cylinder. We can use 15 other way(s) to calculate the same, which is/are as follows -
• Volume of Cylinder = pi*Radius of Cylinder^2*Height of Cylinder
• Volume of Cylinder = Base Area of Cylinder*Height of Cylinder
• Volume of Cylinder = (Radius of Cylinder*Lateral Surface Area of Cylinder)/2
• Volume of Cylinder = (pi*(Diagonal of Cylinder^2-Height of Cylinder^2)*Height of Cylinder)/4
• Volume of Cylinder = Lateral Surface Area of Cylinder^2/(4*pi*Height of Cylinder)
• Volume of Cylinder = (Total Surface Area of Cylinder-2*Base Area of Cylinder)^2/(4*pi*Height of Cylinder)
• Volume of Cylinder = pi*Radius of Cylinder^2*(2*Radius of Cylinder)/((Radius of Cylinder*Surface to Volume Ratio of Cylinder)-2)
• Volume of Cylinder = pi*((2*Height of Cylinder)/((Height of Cylinder*Surface to Volume Ratio of Cylinder)-2))^2*Height of Cylinder
• Volume of Cylinder = pi*((Perimeter of Cylinder/2-Height of Cylinder)/(2*pi))^2*Height of Cylinder
• Volume of Cylinder = pi*Radius of Cylinder^2*(Perimeter of Cylinder/2-2*pi*Radius of Cylinder)
• Volume of Cylinder = pi*Radius of Cylinder^2*Height of Cylinder
• Volume of Cylinder = Lateral Surface Area of Cylinder^2/(4*pi*Height of Cylinder)
• Volume of Cylinder = (Total Surface Area of Cylinder-2*Base Area of Cylinder)^2/(4*pi*Height of Cylinder)
• Volume of Cylinder = Base Area of Cylinder*Height of Cylinder
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