Lateral Surface Area of Diagonally Halved Cylinder given Space Diagonal and Radius Solution

STEP 0: Pre-Calculation Summary
Formula Used
Lateral Surface Area of Diagonally Halved Cylinder = pi*Radius of Diagonally Halved Cylinder*sqrt(Space Diagonal of Diagonally Halved Cylinder^2-(4*Radius of Diagonally Halved Cylinder^2))
LSA = pi*r*sqrt(dSpace^2-(4*r^2))
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
Lateral Surface Area of Diagonally Halved Cylinder - (Measured in Square Meter) - The Lateral Surface Area of Diagonally Halved Cylinder is the total quantity of plane enclosed on the lateral curved surface of the Diagonally Halved Cylinder.
Radius of Diagonally Halved Cylinder - (Measured in Meter) - Radius of Diagonally Halved Cylinder is the distance between the center and any point on the circumference of the base circular face of the Diagonally Halved Cylinder.
Space Diagonal of Diagonally Halved Cylinder - (Measured in Meter) - Space Diagonal of Diagonally Halved Cylinder is the length of the major axis or the longest chord of the upper elliptical face of the Diagonally Halved Cylinder.
STEP 1: Convert Input(s) to Base Unit
Radius of Diagonally Halved Cylinder: 4 Meter --> 4 Meter No Conversion Required
Space Diagonal of Diagonally Halved Cylinder: 11 Meter --> 11 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
LSA = pi*r*sqrt(dSpace^2-(4*r^2)) --> pi*4*sqrt(11^2-(4*4^2))
Evaluating ... ...
LSA = 94.8740175906633
STEP 3: Convert Result to Output's Unit
94.8740175906633 Square Meter --> No Conversion Required
FINAL ANSWER
94.8740175906633 94.87402 Square Meter <-- Lateral Surface Area of Diagonally Halved Cylinder
(Calculation completed in 00.004 seconds)

Credits

Created by Shweta Patil
Walchand College of Engineering (WCE), Sangli
Shweta Patil has created this Calculator and 2500+ more calculators!
Verified by Mona Gladys
St Joseph's College (SJC), Bengaluru
Mona Gladys has verified this Calculator and 1800+ more calculators!

6 Lateral Surface Area of Diagonally Halved Cylinder Calculators

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

Lateral Surface Area of Diagonally Halved Cylinder given Space Diagonal and Radius Formula

Lateral Surface Area of Diagonally Halved Cylinder = pi*Radius of Diagonally Halved Cylinder*sqrt(Space Diagonal of Diagonally Halved Cylinder^2-(4*Radius of Diagonally Halved Cylinder^2))
LSA = pi*r*sqrt(dSpace^2-(4*r^2))

What is a Diagonally Halved Cylinder?

Diagonally Halved Cylinder is the shape obtained by cutting a right circular cylinder of finite height, diagonally from upper circular face to lower circular face, passing through the center of the cylinder. The planar shape formed at the plane of cutting will be an ellipse with major axis equal to the diagonal length.

How to Calculate Lateral Surface Area of Diagonally Halved Cylinder given Space Diagonal and Radius?

Lateral Surface Area of Diagonally Halved Cylinder given Space Diagonal and Radius calculator uses Lateral Surface Area of Diagonally Halved Cylinder = pi*Radius of Diagonally Halved Cylinder*sqrt(Space Diagonal of Diagonally Halved Cylinder^2-(4*Radius of Diagonally Halved Cylinder^2)) to calculate the Lateral Surface Area of Diagonally Halved Cylinder, Lateral Surface Area of Diagonally Halved Cylinder given Space Diagonal and Radius formula is defined as the total quantity of plane enclosed on the lateral curved surface of the Diagonally Halved Cylinder, and calculated using the space diagonal and radius of the Diagonally Halved Cylinder. Lateral Surface Area of Diagonally Halved Cylinder is denoted by LSA symbol.

How to calculate Lateral Surface Area of Diagonally Halved Cylinder given Space Diagonal and Radius using this online calculator? To use this online calculator for Lateral Surface Area of Diagonally Halved Cylinder given Space Diagonal and Radius, enter Radius of Diagonally Halved Cylinder (r) & Space Diagonal of Diagonally Halved Cylinder (dSpace) and hit the calculate button. Here is how the Lateral Surface Area of Diagonally Halved Cylinder given Space Diagonal and Radius calculation can be explained with given input values -> 94.87402 = pi*4*sqrt(11^2-(4*4^2)).

FAQ

What is Lateral Surface Area of Diagonally Halved Cylinder given Space Diagonal and Radius?
Lateral Surface Area of Diagonally Halved Cylinder given Space Diagonal and Radius formula is defined as the total quantity of plane enclosed on the lateral curved surface of the Diagonally Halved Cylinder, and calculated using the space diagonal and radius of the Diagonally Halved Cylinder and is represented as LSA = pi*r*sqrt(dSpace^2-(4*r^2)) or Lateral Surface Area of Diagonally Halved Cylinder = pi*Radius of Diagonally Halved Cylinder*sqrt(Space Diagonal of Diagonally Halved Cylinder^2-(4*Radius of Diagonally Halved Cylinder^2)). Radius of Diagonally Halved Cylinder is the distance between the center and any point on the circumference of the base circular face of the Diagonally Halved Cylinder & Space Diagonal of Diagonally Halved Cylinder is the length of the major axis or the longest chord of the upper elliptical face of the Diagonally Halved Cylinder.
How to calculate Lateral Surface Area of Diagonally Halved Cylinder given Space Diagonal and Radius?
Lateral Surface Area of Diagonally Halved Cylinder given Space Diagonal and Radius formula is defined as the total quantity of plane enclosed on the lateral curved surface of the Diagonally Halved Cylinder, and calculated using the space diagonal and radius of the Diagonally Halved Cylinder is calculated using Lateral Surface Area of Diagonally Halved Cylinder = pi*Radius of Diagonally Halved Cylinder*sqrt(Space Diagonal of Diagonally Halved Cylinder^2-(4*Radius of Diagonally Halved Cylinder^2)). To calculate Lateral Surface Area of Diagonally Halved Cylinder given Space Diagonal and Radius, you need Radius of Diagonally Halved Cylinder (r) & Space Diagonal of Diagonally Halved Cylinder (dSpace). With our tool, you need to enter the respective value for Radius of Diagonally Halved Cylinder & Space Diagonal of Diagonally Halved 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 Lateral Surface Area of Diagonally Halved Cylinder?
In this formula, Lateral Surface Area of Diagonally Halved Cylinder uses Radius of Diagonally Halved Cylinder & Space Diagonal of Diagonally Halved Cylinder. We can use 5 other way(s) to calculate the same, which is/are as follows -
  • Lateral Surface Area of Diagonally Halved Cylinder = pi*Radius of Diagonally Halved Cylinder*(Total Surface Area of Diagonally Halved Cylinder/(pi*Radius of Diagonally Halved Cylinder)-Radius of Diagonally Halved Cylinder-Space Diagonal of Diagonally Halved Cylinder/2)
  • Lateral Surface Area of Diagonally Halved Cylinder = (2*Volume of Diagonally Halved Cylinder)/Radius of Diagonally Halved Cylinder
  • Lateral Surface Area of Diagonally Halved Cylinder = sqrt(2*pi*Volume of Diagonally Halved Cylinder*Height of Diagonally Halved Cylinder)
  • Lateral Surface Area of Diagonally Halved Cylinder = pi*Height of Diagonally Halved Cylinder*sqrt((Space Diagonal of Diagonally Halved Cylinder^2-Height of Diagonally Halved Cylinder^2)/4)
  • Lateral Surface Area of Diagonally Halved Cylinder = pi*Radius of Diagonally Halved Cylinder*Height of Diagonally Halved Cylinder
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!