Volume of Hollow Cylinder given Total Curved Surface Area Calculator

✖The Total Curved Surface Area of Hollow Cylinder is defined as the area of only curved surface, leaving the circular top and base.ⓘ Total Curved Surface Area of Hollow Cylinder [CSA_Total]			+10% -10%
✖The Inner Radius of Hollow Cylinder is the distance between the center and any point on the circumference of inner cylinder of the Hollow Cylinder.ⓘ Inner Radius of Hollow Cylinder [r_Inner]			+10% -10%
✖The Outer Radius of Hollow Cylinder is the distance between the center and any point on the circumference of outer cylinder of the Hollow Cylinder.ⓘ Outer Radius of Hollow Cylinder [r_Outer]			+10% -10%

✖Volume of Hollow Cylinder is the total quantity of three dimensional space enclosed by the entire surface of the Hollow Cylinder.ⓘ Volume of Hollow Cylinder given Total Curved Surface Area [V]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Hollow Cylinder Formula PDF PDF Image

Volume of Hollow Cylinder given Total Curved Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Hollow Cylinder = Total Curved Surface Area of Hollow Cylinder/(2*(Inner Radius of Hollow Cylinder+Outer Radius of Hollow Cylinder))*(Outer Radius of Hollow Cylinder^2-Inner Radius of Hollow Cylinder^2)
V = CSA_Total/(2*(r_Inner+r_Outer))*(r_Outer^2-r_Inner^2)
This formula uses 4 Variables

Variables Used

Volume of Hollow Cylinder - (Measured in Cubic Meter) - Volume of Hollow Cylinder is the total quantity of three dimensional space enclosed by the entire surface of the Hollow Cylinder.
Total Curved Surface Area of Hollow Cylinder - (Measured in Square Meter) - The Total Curved Surface Area of Hollow Cylinder is defined as the area of only curved surface, leaving the circular top and base.
Inner Radius of Hollow Cylinder - (Measured in Meter) - The Inner Radius of Hollow Cylinder is the distance between the center and any point on the circumference of inner cylinder of the Hollow Cylinder.
Outer Radius of Hollow Cylinder - (Measured in Meter) - The Outer Radius of Hollow Cylinder is the distance between the center and any point on the circumference of outer cylinder of the Hollow Cylinder.

STEP 1: Convert Input(s) to Base Unit

Total Curved Surface Area of Hollow Cylinder: 800 Square Meter --> 800 Square Meter No Conversion Required
Inner Radius of Hollow Cylinder: 6 Meter --> 6 Meter No Conversion Required
Outer Radius of Hollow Cylinder: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = CSA_Total/(2*(r_Inner+r_Outer))*(r_Outer^2-r_Inner^2) --> 800/(2*(6+10))*(10^2-6^2)

Evaluating ... ...

V = 1600

STEP 3: Convert Result to Output's Unit

1600 Cubic Meter --> No Conversion Required

FINAL ANSWER

1600 Cubic Meter <-- Volume of Hollow Cylinder

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » Hollow Cylinder » Volume of Hollow Cylinder » Volume of Hollow Cylinder given Total Curved Surface Area

Credits

Created by Nayana Phulphagar

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

Nayana Phulphagar has created this Calculator and 300+ more calculators!

Verified by Dhruv Walia

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

Dhruv Walia has verified this Calculator and 400+ more calculators!

< Volume of Hollow Cylinder Calculators

Volume of Hollow Cylinder given Total Surface Area

LaTeX Go Volume of Hollow Cylinder = pi*(Total Surface Area of Hollow Cylinder/(2*pi*(Inner Radius of Hollow Cylinder+Outer Radius of Hollow Cylinder))-Outer Radius of Hollow Cylinder+Inner Radius of Hollow Cylinder)*(Outer Radius of Hollow Cylinder^2-Inner Radius of Hollow Cylinder^2)

Volume of Hollow Cylinder given Outer Curved Surface Area

LaTeX Go Volume of Hollow Cylinder = (Outer Curved Surface Area of Hollow Cylinder*(Outer Radius of Hollow Cylinder^2-Inner Radius of Hollow Cylinder^2))/(2*Outer Radius of Hollow Cylinder)

Volume of Hollow Cylinder given Inner Curved Surface Area

LaTeX Go Volume of Hollow Cylinder = (Inner Curved Surface Area of Hollow Cylinder*(Outer Radius of Hollow Cylinder^2-Inner Radius of Hollow Cylinder^2))/(2*Inner Radius of Hollow Cylinder)

Volume of Hollow Cylinder

LaTeX Go Volume of Hollow Cylinder = pi*Height of Hollow Cylinder*(Outer Radius of Hollow Cylinder^2-Inner Radius of Hollow Cylinder^2)

Volume of Hollow Cylinder given Total Curved Surface Area Formula

LaTeX Go

What is Hollow Cylinder?

The Hollow Cylinder is defined as a cylinder, which is empty from inside and has some difference between the internal and external radius. The bottom of the hollow cylinder looks like an annular ring. In other words, the bottom of the hollow cylinder resembles a region bounded by two concentric circles.

What is Cylinder?

A Cylinder is a three-dimensional solid that holds two parallel bases joined by a curved surface, at a fixed distance. A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface. The bases are always congruent and parallel. f the bases are circular in shape, then it is called a right circular cylinder. If the bases are in an elliptical shape, then it is called an “Elliptical Cylinder”.

How to Calculate Volume of Hollow Cylinder given Total Curved Surface Area?

Volume of Hollow Cylinder given Total Curved Surface Area calculator uses Volume of Hollow Cylinder = Total Curved Surface Area of Hollow Cylinder/(2*(Inner Radius of Hollow Cylinder+Outer Radius of Hollow Cylinder))*(Outer Radius of Hollow Cylinder^2-Inner Radius of Hollow Cylinder^2) to calculate the Volume of Hollow Cylinder, The Volume of Hollow Cylinder given Total Curved Surface Area formula is defined as the total quantity of three dimensional space enclosed by the entire surface of the Hollow Cylinder, calculated using total curved surface area of Hollow Cylinder. Volume of Hollow Cylinder is denoted by V symbol.

How to calculate Volume of Hollow Cylinder given Total Curved Surface Area using this online calculator? To use this online calculator for Volume of Hollow Cylinder given Total Curved Surface Area, enter Total Curved Surface Area of Hollow Cylinder (CSA_Total), Inner Radius of Hollow Cylinder (r_Inner) & Outer Radius of Hollow Cylinder (r_Outer) and hit the calculate button. Here is how the Volume of Hollow Cylinder given Total Curved Surface Area calculation can be explained with given input values -> 1600 = 800/(2*(6+10))*(10^2-6^2).

FAQ

What is Volume of Hollow Cylinder given Total Curved Surface Area?

The Volume of Hollow Cylinder given Total Curved Surface Area formula is defined as the total quantity of three dimensional space enclosed by the entire surface of the Hollow Cylinder, calculated using total curved surface area of Hollow Cylinder and is represented as V = CSA_Total/(2*(r_Inner+r_Outer))*(r_Outer^2-r_Inner^2) or Volume of Hollow Cylinder = Total Curved Surface Area of Hollow Cylinder/(2*(Inner Radius of Hollow Cylinder+Outer Radius of Hollow Cylinder))*(Outer Radius of Hollow Cylinder^2-Inner Radius of Hollow Cylinder^2). The Total Curved Surface Area of Hollow Cylinder is defined as the area of only curved surface, leaving the circular top and base, The Inner Radius of Hollow Cylinder is the distance between the center and any point on the circumference of inner cylinder of the Hollow Cylinder & The Outer Radius of Hollow Cylinder is the distance between the center and any point on the circumference of outer cylinder of the Hollow Cylinder.

How to calculate Volume of Hollow Cylinder given Total Curved Surface Area?

The Volume of Hollow Cylinder given Total Curved Surface Area formula is defined as the total quantity of three dimensional space enclosed by the entire surface of the Hollow Cylinder, calculated using total curved surface area of Hollow Cylinder is calculated using Volume of Hollow Cylinder = Total Curved Surface Area of Hollow Cylinder/(2*(Inner Radius of Hollow Cylinder+Outer Radius of Hollow Cylinder))*(Outer Radius of Hollow Cylinder^2-Inner Radius of Hollow Cylinder^2). To calculate Volume of Hollow Cylinder given Total Curved Surface Area, you need Total Curved Surface Area of Hollow Cylinder (CSA_Total), Inner Radius of Hollow Cylinder (r_Inner) & Outer Radius of Hollow Cylinder (r_Outer). With our tool, you need to enter the respective value for Total Curved Surface Area of Hollow Cylinder, Inner Radius of Hollow Cylinder & Outer Radius of Hollow 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 Hollow Cylinder?

In this formula, Volume of Hollow Cylinder uses Total Curved Surface Area of Hollow Cylinder, Inner Radius of Hollow Cylinder & Outer Radius of Hollow Cylinder. We can use 3 other way(s) to calculate the same, which is/are as follows -

Volume of Hollow Cylinder = pi*Height of Hollow Cylinder*(Outer Radius of Hollow Cylinder^2-Inner Radius of Hollow Cylinder^2)
Volume of Hollow Cylinder = (Outer Curved Surface Area of Hollow Cylinder*(Outer Radius of Hollow Cylinder^2-Inner Radius of Hollow Cylinder^2))/(2*Outer Radius of Hollow Cylinder)
Volume of Hollow Cylinder = (Inner Curved Surface Area of Hollow Cylinder*(Outer Radius of Hollow Cylinder^2-Inner Radius of Hollow Cylinder^2))/(2*Inner Radius of Hollow Cylinder)

Home

FREE PDFs

🔍 Search