Total Surface Area of Oblique Cylinder given Height Solution

STEP 0: Pre-Calculation Summary
Formula Used
Total Surface Area of Oblique Cylinder = 2*pi*Radius of Oblique Cylinder*(Radius of Oblique Cylinder+Height of Oblique Cylinder/sin(Angle of Slope of Oblique Cylinder))
TSA = 2*pi*r*(r+h/sin(Slope))
This formula uses 1 Constants, 1 Functions, 4 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)
Variables Used
Total Surface Area of Oblique Cylinder - (Measured in Square Meter) - Total Surface Area of Oblique Cylinder is the total quantity of plane enclosed on the entire surface of the Oblique Cylinder.
Radius of Oblique Cylinder - (Measured in Meter) - Radius of Oblique Cylinder is the distance between the center and any point on the circumference of the base circular face of the Oblique Cylinder.
Height of Oblique Cylinder - (Measured in Meter) - Height of Oblique Cylinder is the vertical distance from the bottom circular face to the top of the Oblique Cylinder.
Angle of Slope of Oblique Cylinder - (Measured in Radian) - Angle of Slope of Oblique Cylinder is the measurement of the angle at which the cylinder leans over the base of Oblique Cylinder.
STEP 1: Convert Input(s) to Base Unit
Radius of Oblique Cylinder: 5 Meter --> 5 Meter No Conversion Required
Height of Oblique Cylinder: 10 Meter --> 10 Meter No Conversion Required
Angle of Slope of Oblique Cylinder: 60 Degree --> 1.0471975511964 Radian (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
TSA = 2*pi*r*(r+h/sin(∠Slope)) --> 2*pi*5*(5+10/sin(1.0471975511964))
Evaluating ... ...
TSA = 519.839505526375
STEP 3: Convert Result to Output's Unit
519.839505526375 Square Meter --> No Conversion Required
FINAL ANSWER
519.839505526375 519.8395 Square Meter <-- Total Surface Area of Oblique Cylinder
(Calculation completed in 00.020 seconds)

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Created by Mona Gladys
St Joseph's College (SJC), Bengaluru
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Walchand College of Engineering (WCE), Sangli
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Total Surface Area of Oblique Cylinder Calculators

Total Surface Area of Oblique Cylinder given Surface to Volume Ratio
​ LaTeX ​ Go Total Surface Area of Oblique Cylinder = (2*pi*Radius of Oblique Cylinder*(Lateral Surface Area of Oblique Cylinder+(2*pi*Radius of Oblique Cylinder^2))/(pi*Radius of Oblique Cylinder^2*Surface to Volume Ratio of Oblique Cylinder*sin(Angle of Slope of Oblique Cylinder)))+(2*pi*Radius of Oblique Cylinder^2)
Total Surface Area of Oblique Cylinder given Height
​ LaTeX ​ Go Total Surface Area of Oblique Cylinder = 2*pi*Radius of Oblique Cylinder*(Radius of Oblique Cylinder+Height of Oblique Cylinder/sin(Angle of Slope of Oblique Cylinder))
Total Surface Area of Oblique Cylinder given Lateral Edge
​ LaTeX ​ Go Total Surface Area of Oblique Cylinder = 2*pi*Radius of Oblique Cylinder*(Radius of Oblique Cylinder+Lateral Edge of Oblique Cylinder)
Total Surface Area of Oblique Cylinder given Volume
​ LaTeX ​ Go Total Surface Area of Oblique Cylinder = Lateral Surface Area of Oblique Cylinder+(2*Volume of Oblique Cylinder)/Height of Oblique Cylinder

Total Surface Area of Oblique Cylinder given Height Formula

​LaTeX ​Go
Total Surface Area of Oblique Cylinder = 2*pi*Radius of Oblique Cylinder*(Radius of Oblique Cylinder+Height of Oblique Cylinder/sin(Angle of Slope of Oblique Cylinder))
TSA = 2*pi*r*(r+h/sin(Slope))

What is an Oblique Cylinder?

An Oblique Cylinder is one that 'leans over' - where the sides are not perpendicular to the bases. Opposite of a 'right cylinder'. In an oblique cylinder, the bases (ends) remain parallel to each other, but the sides lean over at an angle that is not 90°. If they are at right angles to the bases, it is called a right cylinder.

How to Calculate Total Surface Area of Oblique Cylinder given Height?

Total Surface Area of Oblique Cylinder given Height calculator uses Total Surface Area of Oblique Cylinder = 2*pi*Radius of Oblique Cylinder*(Radius of Oblique Cylinder+Height of Oblique Cylinder/sin(Angle of Slope of Oblique Cylinder)) to calculate the Total Surface Area of Oblique Cylinder, Total Surface Area of Oblique Cylinder given Height formula is defined as the total quantity of plane enclosed on the entire surface of the Oblique Cylinder and is calculated using height, radius and angle of slope of Oblique Cylinder. Total Surface Area of Oblique Cylinder is denoted by TSA symbol.

How to calculate Total Surface Area of Oblique Cylinder given Height using this online calculator? To use this online calculator for Total Surface Area of Oblique Cylinder given Height, enter Radius of Oblique Cylinder (r), Height of Oblique Cylinder (h) & Angle of Slope of Oblique Cylinder (∠Slope) and hit the calculate button. Here is how the Total Surface Area of Oblique Cylinder given Height calculation can be explained with given input values -> 519.8395 = 2*pi*5*(5+10/sin(1.0471975511964)).

FAQ

What is Total Surface Area of Oblique Cylinder given Height?
Total Surface Area of Oblique Cylinder given Height formula is defined as the total quantity of plane enclosed on the entire surface of the Oblique Cylinder and is calculated using height, radius and angle of slope of Oblique Cylinder and is represented as TSA = 2*pi*r*(r+h/sin(∠Slope)) or Total Surface Area of Oblique Cylinder = 2*pi*Radius of Oblique Cylinder*(Radius of Oblique Cylinder+Height of Oblique Cylinder/sin(Angle of Slope of Oblique Cylinder)). Radius of Oblique Cylinder is the distance between the center and any point on the circumference of the base circular face of the Oblique Cylinder, Height of Oblique Cylinder is the vertical distance from the bottom circular face to the top of the Oblique Cylinder & Angle of Slope of Oblique Cylinder is the measurement of the angle at which the cylinder leans over the base of Oblique Cylinder.
How to calculate Total Surface Area of Oblique Cylinder given Height?
Total Surface Area of Oblique Cylinder given Height formula is defined as the total quantity of plane enclosed on the entire surface of the Oblique Cylinder and is calculated using height, radius and angle of slope of Oblique Cylinder is calculated using Total Surface Area of Oblique Cylinder = 2*pi*Radius of Oblique Cylinder*(Radius of Oblique Cylinder+Height of Oblique Cylinder/sin(Angle of Slope of Oblique Cylinder)). To calculate Total Surface Area of Oblique Cylinder given Height, you need Radius of Oblique Cylinder (r), Height of Oblique Cylinder (h) & Angle of Slope of Oblique Cylinder (∠Slope). With our tool, you need to enter the respective value for Radius of Oblique Cylinder, Height of Oblique Cylinder & Angle of Slope of Oblique 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 Total Surface Area of Oblique Cylinder?
In this formula, Total Surface Area of Oblique Cylinder uses Radius of Oblique Cylinder, Height of Oblique Cylinder & Angle of Slope of Oblique Cylinder. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Total Surface Area of Oblique Cylinder = (2*pi*Radius of Oblique Cylinder*(Lateral Surface Area of Oblique Cylinder+(2*pi*Radius of Oblique Cylinder^2))/(pi*Radius of Oblique Cylinder^2*Surface to Volume Ratio of Oblique Cylinder*sin(Angle of Slope of Oblique Cylinder)))+(2*pi*Radius of Oblique Cylinder^2)
  • Total Surface Area of Oblique Cylinder = Lateral Surface Area of Oblique Cylinder+(2*Volume of Oblique Cylinder)/Height of Oblique Cylinder
  • Total Surface Area of Oblique Cylinder = 2*pi*Radius of Oblique Cylinder*(Radius of Oblique Cylinder+Lateral Edge of Oblique Cylinder)
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