Volume of Half Cylinder given Total Surface Area and Radius Solution

STEP 0: Pre-Calculation Summary
Formula Used
Volume of Half Cylinder = 1/2*pi*Radius of Half Cylinder*((Total Surface Area of Half Cylinder-(pi*Radius of Half Cylinder^2))/(pi+2))
V = 1/2*pi*r*((TSA-(pi*r^2))/(pi+2))
This formula uses 1 Constants, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Volume of Half Cylinder - (Measured in Cubic Meter) - Volume of Half Cylinders is the amount of 3-dimensional space enclosed by the surface of Half Cylinder.
Radius of Half Cylinder - (Measured in Meter) - Radius of Half Cylinder is the radius of the semicircular surface of the Half Cylinder.
Total Surface Area of Half Cylinder - (Measured in Square Meter) - Total Surface Area of Half Cylinder is defined as the measure of the total amount of 2d space enclosed by all the faces of the Half Cylinder.
STEP 1: Convert Input(s) to Base Unit
Radius of Half Cylinder: 10 Meter --> 10 Meter No Conversion Required
Total Surface Area of Half Cylinder: 930 Square Meter --> 930 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
V = 1/2*pi*r*((TSA-(pi*r^2))/(pi+2)) --> 1/2*pi*10*((930-(pi*10^2))/(pi+2))
Evaluating ... ...
V = 1881.44108069197
STEP 3: Convert Result to Output's Unit
1881.44108069197 Cubic Meter --> No Conversion Required
FINAL ANSWER
1881.44108069197 1881.441 Cubic Meter <-- Volume of Half Cylinder
(Calculation completed in 00.020 seconds)

Credits

Created by Divanshi Jain
Netaji Subhash University of Technology, Delhi (NSUT Delhi), Dwarka
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Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand
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7 Volume of Half Cylinder Calculators

Volume of Half Cylinder given Total Surface Area and Radius
Go Volume of Half Cylinder = 1/2*pi*Radius of Half Cylinder*((Total Surface Area of Half Cylinder-(pi*Radius of Half Cylinder^2))/(pi+2))
Volume of Half Cylinder given Space Diagonal and Radius
Go Volume of Half Cylinder = 1/2*pi*Radius of Half Cylinder^2*sqrt(Space Diagonal of Half Cylinder^2-Radius of Half Cylinder^2)
Volume of Half Cylinder given Space Diagonal and Height
Go Volume of Half Cylinder = 1/2*pi*Height of Half Cylinder*(Space Diagonal of Half Cylinder^2-Height of Half Cylinder^2)
Volume of Half Cylinder given Curved Surface Area and Height
Go Volume of Half Cylinder = 1/2*Curved Surface Area of Half Cylinder^2/(pi*Height of Half Cylinder)
Volume of Half Cylinder
Go Volume of Half Cylinder = 1/2*pi*Radius of Half Cylinder^2*Height of Half Cylinder
Volume of Half Cylinder given Curved Surface Area and Radius
Go Volume of Half Cylinder = 1/2*Radius of Half Cylinder*Curved Surface Area of Half Cylinder
Volume of Half Cylinder given Base Area
Go Volume of Half Cylinder = Base Area of Half Cylinder*Height of Half Cylinder

Volume of Half Cylinder given Total Surface Area and Radius Formula

Volume of Half Cylinder = 1/2*pi*Radius of Half Cylinder*((Total Surface Area of Half Cylinder-(pi*Radius of Half Cylinder^2))/(pi+2))
V = 1/2*pi*r*((TSA-(pi*r^2))/(pi+2))

What is Half Cylinder?

A Half-cylindrical shape in mathematics is a three-dimensional solid figure which is obtained when a cylinder is truncated longitudinally. When a horizontal cylinder is cut into two equal pieces parallel to the length of the cylinder, the shapes thus obtained are called half-cylinders.

How to Calculate Volume of Half Cylinder given Total Surface Area and Radius?

Volume of Half Cylinder given Total Surface Area and Radius calculator uses Volume of Half Cylinder = 1/2*pi*Radius of Half Cylinder*((Total Surface Area of Half Cylinder-(pi*Radius of Half Cylinder^2))/(pi+2)) to calculate the Volume of Half Cylinder, The Volume of Half Cylinder given Total Surface Area and Radius formula is defined as the amount of 3-dimensional space enclosed by the surface of the Half Cylinder, calculated using total surface area and radius of Half Cylinder. Volume of Half Cylinder is denoted by V symbol.

How to calculate Volume of Half Cylinder given Total Surface Area and Radius using this online calculator? To use this online calculator for Volume of Half Cylinder given Total Surface Area and Radius, enter Radius of Half Cylinder (r) & Total Surface Area of Half Cylinder (TSA) and hit the calculate button. Here is how the Volume of Half Cylinder given Total Surface Area and Radius calculation can be explained with given input values -> 1881.441 = 1/2*pi*10*((930-(pi*10^2))/(pi+2)).

FAQ

What is Volume of Half Cylinder given Total Surface Area and Radius?
The Volume of Half Cylinder given Total Surface Area and Radius formula is defined as the amount of 3-dimensional space enclosed by the surface of the Half Cylinder, calculated using total surface area and radius of Half Cylinder and is represented as V = 1/2*pi*r*((TSA-(pi*r^2))/(pi+2)) or Volume of Half Cylinder = 1/2*pi*Radius of Half Cylinder*((Total Surface Area of Half Cylinder-(pi*Radius of Half Cylinder^2))/(pi+2)). Radius of Half Cylinder is the radius of the semicircular surface of the Half Cylinder & Total Surface Area of Half Cylinder is defined as the measure of the total amount of 2d space enclosed by all the faces of the Half Cylinder.
How to calculate Volume of Half Cylinder given Total Surface Area and Radius?
The Volume of Half Cylinder given Total Surface Area and Radius formula is defined as the amount of 3-dimensional space enclosed by the surface of the Half Cylinder, calculated using total surface area and radius of Half Cylinder is calculated using Volume of Half Cylinder = 1/2*pi*Radius of Half Cylinder*((Total Surface Area of Half Cylinder-(pi*Radius of Half Cylinder^2))/(pi+2)). To calculate Volume of Half Cylinder given Total Surface Area and Radius, you need Radius of Half Cylinder (r) & Total Surface Area of Half Cylinder (TSA). With our tool, you need to enter the respective value for Radius of Half Cylinder & Total Surface Area of Half 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 Half Cylinder?
In this formula, Volume of Half Cylinder uses Radius of Half Cylinder & Total Surface Area of Half Cylinder. We can use 6 other way(s) to calculate the same, which is/are as follows -
  • Volume of Half Cylinder = 1/2*pi*Height of Half Cylinder*(Space Diagonal of Half Cylinder^2-Height of Half Cylinder^2)
  • Volume of Half Cylinder = 1/2*Curved Surface Area of Half Cylinder^2/(pi*Height of Half Cylinder)
  • Volume of Half Cylinder = 1/2*Radius of Half Cylinder*Curved Surface Area of Half Cylinder
  • Volume of Half Cylinder = 1/2*pi*Radius of Half Cylinder^2*sqrt(Space Diagonal of Half Cylinder^2-Radius of Half Cylinder^2)
  • Volume of Half Cylinder = 1/2*pi*Radius of Half Cylinder^2*Height of Half Cylinder
  • Volume of Half Cylinder = Base Area of Half Cylinder*Height of Half Cylinder
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