Total Surface Area of Flat End Cylinder given Lateral Surface Area and Height Calculator

✖Lateral Surface Area of Flat End Cylinder is the total quantity of plane enclosed on the lateral curved surface of the Flat End Cylinder.ⓘ Lateral Surface Area of Flat End Cylinder [LSA]			+10% -10%
✖Radius of Flat End Cylinder is the distance between the center and any point on the circumference of the base circular face of the Flat End Cylinder.ⓘ Radius of Flat End Cylinder [r]			+10% -10%
✖Height of Flat End Cylinder is the vertical distance from the bottom circular face to the top of the Flat End Cylinder.ⓘ Height of Flat End Cylinder [h]			+10% -10%

✖Total Surface Area of Flat End Cylinder is the total quantity of plane enclosed on the entire surface of the Flat End Cylinder.ⓘ Total Surface Area of Flat End Cylinder given Lateral Surface Area and Height [TSA]

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Total Surface Area of Flat End Cylinder given Lateral Surface Area and Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Surface Area of Flat End Cylinder = Lateral Surface Area of Flat End Cylinder+(pi*Radius of Flat End Cylinder*sqrt(Radius of Flat End Cylinder^2+Height of Flat End Cylinder^2))+(pi*Radius of Flat End Cylinder^2)
TSA = LSA+(pi*r*sqrt(r^2+h^2))+(pi*r^2)
This formula uses 1 Constants, 1 Functions, 4 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

Total Surface Area of Flat End Cylinder - (Measured in Square Meter) - Total Surface Area of Flat End Cylinder is the total quantity of plane enclosed on the entire surface of the Flat End Cylinder.
Lateral Surface Area of Flat End Cylinder - (Measured in Square Meter) - Lateral Surface Area of Flat End Cylinder is the total quantity of plane enclosed on the lateral curved surface of the Flat End Cylinder.
Radius of Flat End Cylinder - (Measured in Meter) - Radius of Flat End Cylinder is the distance between the center and any point on the circumference of the base circular face of the Flat End Cylinder.
Height of Flat End Cylinder - (Measured in Meter) - Height of Flat End Cylinder is the vertical distance from the bottom circular face to the top of the Flat End Cylinder.

STEP 1: Convert Input(s) to Base Unit

Lateral Surface Area of Flat End Cylinder: 135 Square Meter --> 135 Square Meter No Conversion Required
Radius of Flat End Cylinder: 5 Meter --> 5 Meter No Conversion Required
Height of Flat End Cylinder: 12 Meter --> 12 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

TSA = LSA+(pi*r*sqrt(r^2+h^2))+(pi*r^2) --> 135+(pi*5*sqrt(5^2+12^2))+(pi*5^2)

Evaluating ... ...

TSA = 417.743338823081

STEP 3: Convert Result to Output's Unit

417.743338823081 Square Meter --> No Conversion Required

FINAL ANSWER

417.743338823081 ≈ 417.7433 Square Meter <-- Total Surface Area of Flat End Cylinder

(Calculation completed in 00.004 seconds)

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< Total Surface Area of Flat End Cylinder Calculators

Total Surface Area of Flat End Cylinder given Side Length

LaTeX Go Total Surface Area of Flat End Cylinder = Lateral Surface Area of Flat End Cylinder+(pi*Side Length of Flat End Cylinder*Lateral Surface Area of Flat End Cylinder/(Height of Flat End Cylinder*((2*pi)-4)))+(pi*(Lateral Surface Area of Flat End Cylinder/(Height of Flat End Cylinder*((2*pi)-4)))^2)

Total Surface Area of Flat End Cylinder given Lateral Surface Area and Height

LaTeX Go Total Surface Area of Flat End Cylinder = Lateral Surface Area of Flat End Cylinder+(pi*Radius of Flat End Cylinder*sqrt(Radius of Flat End Cylinder^2+Height of Flat End Cylinder^2))+(pi*Radius of Flat End Cylinder^2)

Total Surface Area of Flat End Cylinder

LaTeX Go Total Surface Area of Flat End Cylinder = (((2*pi)-4)*Height of Flat End Cylinder*Radius of Flat End Cylinder)+(pi*Radius of Flat End Cylinder*Side Length of Flat End Cylinder)+(pi*Radius of Flat End Cylinder^2)

Total Surface Area of Flat End Cylinder given Lateral Surface Area

LaTeX Go Total Surface Area of Flat End Cylinder = Lateral Surface Area of Flat End Cylinder+(pi*Radius of Flat End Cylinder*Side Length of Flat End Cylinder)+(pi*Radius of Flat End Cylinder^2)

Total Surface Area of Flat End Cylinder given Lateral Surface Area and Height Formula

LaTeX Go

What is a Flat End Cylinder?

Flat End Cylinder is the matching counterpart to two equivalent cylindrical wedges with the angle Φ=90°, which touch at their straight edges. Together with those two, it forms a full cylinder.

How to Calculate Total Surface Area of Flat End Cylinder given Lateral Surface Area and Height?

Total Surface Area of Flat End Cylinder given Lateral Surface Area and Height calculator uses Total Surface Area of Flat End Cylinder = Lateral Surface Area of Flat End Cylinder+(pi*Radius of Flat End Cylinder*sqrt(Radius of Flat End Cylinder^2+Height of Flat End Cylinder^2))+(pi*Radius of Flat End Cylinder^2) to calculate the Total Surface Area of Flat End Cylinder, Total Surface Area of Flat End Cylinder given Lateral Surface Area and Height formula is defined as the total quantity of plane enclosed on the entire surface of the Flat End Cylinder, and is calculated using lateral surface area, radius and height of Flat End Cylinder. Total Surface Area of Flat End Cylinder is denoted by TSA symbol.

How to calculate Total Surface Area of Flat End Cylinder given Lateral Surface Area and Height using this online calculator? To use this online calculator for Total Surface Area of Flat End Cylinder given Lateral Surface Area and Height, enter Lateral Surface Area of Flat End Cylinder (LSA), Radius of Flat End Cylinder (r) & Height of Flat End Cylinder (h) and hit the calculate button. Here is how the Total Surface Area of Flat End Cylinder given Lateral Surface Area and Height calculation can be explained with given input values -> 417.7433 = 135+(pi*5*sqrt(5^2+12^2))+(pi*5^2).

FAQ

What is Total Surface Area of Flat End Cylinder given Lateral Surface Area and Height?

Total Surface Area of Flat End Cylinder given Lateral Surface Area and Height formula is defined as the total quantity of plane enclosed on the entire surface of the Flat End Cylinder, and is calculated using lateral surface area, radius and height of Flat End Cylinder and is represented as TSA = LSA+(pi*r*sqrt(r^2+h^2))+(pi*r^2) or Total Surface Area of Flat End Cylinder = Lateral Surface Area of Flat End Cylinder+(pi*Radius of Flat End Cylinder*sqrt(Radius of Flat End Cylinder^2+Height of Flat End Cylinder^2))+(pi*Radius of Flat End Cylinder^2). Lateral Surface Area of Flat End Cylinder is the total quantity of plane enclosed on the lateral curved surface of the Flat End Cylinder, Radius of Flat End Cylinder is the distance between the center and any point on the circumference of the base circular face of the Flat End Cylinder & Height of Flat End Cylinder is the vertical distance from the bottom circular face to the top of the Flat End Cylinder.

How to calculate Total Surface Area of Flat End Cylinder given Lateral Surface Area and Height?

Total Surface Area of Flat End Cylinder given Lateral Surface Area and Height formula is defined as the total quantity of plane enclosed on the entire surface of the Flat End Cylinder, and is calculated using lateral surface area, radius and height of Flat End Cylinder is calculated using Total Surface Area of Flat End Cylinder = Lateral Surface Area of Flat End Cylinder+(pi*Radius of Flat End Cylinder*sqrt(Radius of Flat End Cylinder^2+Height of Flat End Cylinder^2))+(pi*Radius of Flat End Cylinder^2). To calculate Total Surface Area of Flat End Cylinder given Lateral Surface Area and Height, you need Lateral Surface Area of Flat End Cylinder (LSA), Radius of Flat End Cylinder (r) & Height of Flat End Cylinder (h). With our tool, you need to enter the respective value for Lateral Surface Area of Flat End Cylinder, Radius of Flat End Cylinder & Height of Flat End 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 Flat End Cylinder?

In this formula, Total Surface Area of Flat End Cylinder uses Lateral Surface Area of Flat End Cylinder, Radius of Flat End Cylinder & Height of Flat End Cylinder. We can use 3 other way(s) to calculate the same, which is/are as follows -

Total Surface Area of Flat End Cylinder = (((2*pi)-4)*Height of Flat End Cylinder*Radius of Flat End Cylinder)+(pi*Radius of Flat End Cylinder*Side Length of Flat End Cylinder)+(pi*Radius of Flat End Cylinder^2)
Total Surface Area of Flat End Cylinder = Lateral Surface Area of Flat End Cylinder+(pi*Radius of Flat End Cylinder*Side Length of Flat End Cylinder)+(pi*Radius of Flat End Cylinder^2)
Total Surface Area of Flat End Cylinder = Lateral Surface Area of Flat End Cylinder+(pi*Side Length of Flat End Cylinder*Lateral Surface Area of Flat End Cylinder/(Height of Flat End Cylinder*((2*pi)-4)))+(pi*(Lateral Surface Area of Flat End Cylinder/(Height of Flat End Cylinder*((2*pi)-4)))^2)

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