Volume of Cylinder given Lateral Surface Area and Height Solution

STEP 0: Pre-Calculation Summary
Formula Used
Volume of Cylinder = Lateral Surface Area of Cylinder^2/(4*pi*Height of Cylinder)
V = LSA^2/(4*pi*h)
This formula uses 1 Constants, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
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.
Lateral Surface Area of Cylinder - (Measured in Square Meter) - Lateral Surface Area of Cylinder is the total quantity of plane enclosed on the lateral curved surface (that is, the top and bottom faces are excluded) 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
Lateral Surface Area of Cylinder: 380 Square Meter --> 380 Square Meter No Conversion Required
Height of Cylinder: 12 Meter --> 12 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
V = LSA^2/(4*pi*h) --> 380^2/(4*pi*12)
Evaluating ... ...
V = 957.582240936237
STEP 3: Convert Result to Output's Unit
957.582240936237 Cubic Meter --> No Conversion Required
FINAL ANSWER
957.582240936237 957.5822 Cubic Meter <-- Volume of Cylinder
(Calculation completed in 00.021 seconds)

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Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand
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12 Volume of Cylinder Calculators

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

5 Volume of Cylinder Calculators

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

Volume of Cylinder given Lateral Surface Area and Height Formula

Volume of Cylinder = Lateral Surface Area of Cylinder^2/(4*pi*Height of Cylinder)
V = LSA^2/(4*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.

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 Lateral Surface Area and Height?

Volume of Cylinder given Lateral Surface Area and Height calculator uses Volume of Cylinder = Lateral Surface Area of Cylinder^2/(4*pi*Height of Cylinder) to calculate the Volume of Cylinder, The Volume of Cylinder given Lateral Surface Area and Height formula is defined as the total quantity of three-dimensional space enclosed by the entire surface of the Cylinder, and is calculated using the lateral surface area and height of the Cylinder. Volume of Cylinder is denoted by V symbol.

How to calculate Volume of Cylinder given Lateral Surface Area and Height using this online calculator? To use this online calculator for Volume of Cylinder given Lateral Surface Area and Height, enter Lateral Surface Area of Cylinder (LSA) & Height of Cylinder (h) and hit the calculate button. Here is how the Volume of Cylinder given Lateral Surface Area and Height calculation can be explained with given input values -> 957.5822 = 380^2/(4*pi*12).

FAQ

What is Volume of Cylinder given Lateral Surface Area and Height?
The Volume of Cylinder given Lateral Surface Area and Height formula is defined as the total quantity of three-dimensional space enclosed by the entire surface of the Cylinder, and is calculated using the lateral surface area and height of the Cylinder and is represented as V = LSA^2/(4*pi*h) or Volume of Cylinder = Lateral Surface Area of Cylinder^2/(4*pi*Height of Cylinder). Lateral Surface Area of Cylinder is the total quantity of plane enclosed on the lateral curved surface (that is, the top and bottom faces are excluded) 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 Volume of Cylinder given Lateral Surface Area and Height?
The Volume of Cylinder given Lateral Surface Area and Height formula is defined as the total quantity of three-dimensional space enclosed by the entire surface of the Cylinder, and is calculated using the lateral surface area and height of the Cylinder is calculated using Volume of Cylinder = Lateral Surface Area of Cylinder^2/(4*pi*Height of Cylinder). To calculate Volume of Cylinder given Lateral Surface Area and Height, you need Lateral Surface Area of Cylinder (LSA) & Height of Cylinder (h). With our tool, you need to enter the respective value for Lateral Surface Area 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 Volume of Cylinder?
In this formula, Volume of Cylinder uses Lateral Surface Area of Cylinder & Height 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*Radius of Cylinder^2*sqrt(Diagonal of Cylinder^2-(2*Radius of Cylinder)^2)
  • Volume of Cylinder = (pi*(Diagonal of Cylinder^2-Height of Cylinder^2)*Height of Cylinder)/4
  • Volume of Cylinder = pi*Radius of Cylinder^2*(Total Surface Area of Cylinder/(2*pi*Radius of Cylinder)-Radius 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 = pi*Radius of Cylinder^2*sqrt(Diagonal of Cylinder^2-(2*Radius of Cylinder)^2)
  • 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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