Total Surface Area of Hollow Hemisphere given Volume and Outer Radius Solution

STEP 0: Pre-Calculation Summary
Formula Used
Total Surface Area of Hollow Hemisphere = pi*(3*Outer Radius of Hollow Hemisphere^2+((Outer Radius of Hollow Hemisphere^3-((3*Volume of Hollow Hemisphere)/(2*pi)))^(2/3)))
TSA = pi*(3*rOuter^2+((rOuter^3-((3*V)/(2*pi)))^(2/3)))
This formula uses 1 Constants, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Total Surface Area of Hollow Hemisphere - (Measured in Square Meter) - Total Surface Area of Hollow Hemisphere is the measure of the total amount of space occupied by all the faces of the Hollow Hemisphere.
Outer Radius of Hollow Hemisphere - (Measured in Meter) - Outer Radius of Hollow Hemisphere is a line segment from the center to a point on the curved surface of the outer circular base of the Hollow Hemisphere.
Volume of Hollow Hemisphere - (Measured in Cubic Meter) - Volume of Hollow Hemisphere is the measure of three-dimensional space enclosed by all the faces of the Hollow Hemisphere.
STEP 1: Convert Input(s) to Base Unit
Outer Radius of Hollow Hemisphere: 12 Meter --> 12 Meter No Conversion Required
Volume of Hollow Hemisphere: 1525 Cubic Meter --> 1525 Cubic Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
TSA = pi*(3*rOuter^2+((rOuter^3-((3*V)/(2*pi)))^(2/3))) --> pi*(3*12^2+((12^3-((3*1525)/(2*pi)))^(2/3)))
Evaluating ... ...
TSA = 1671.29925453844
STEP 3: Convert Result to Output's Unit
1671.29925453844 Square Meter --> No Conversion Required
FINAL ANSWER
1671.29925453844 1671.299 Square Meter <-- Total Surface Area of Hollow Hemisphere
(Calculation completed in 00.020 seconds)

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Walchand College of Engineering (WCE), Sangli
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5 Total Surface Area of Hollow Hemisphere Calculators

Total Surface Area of Hollow Hemisphere
Go Total Surface Area of Hollow Hemisphere = pi*((2*(Outer Radius of Hollow Hemisphere^2+Inner Radius of Hollow Hemisphere^2))+(Outer Radius of Hollow Hemisphere^2-Inner Radius of Hollow Hemisphere^2))
Total Surface Area of Hollow Hemisphere given Volume and Outer Radius
Go Total Surface Area of Hollow Hemisphere = pi*(3*Outer Radius of Hollow Hemisphere^2+((Outer Radius of Hollow Hemisphere^3-((3*Volume of Hollow Hemisphere)/(2*pi)))^(2/3)))
Total Surface Area of Hollow Hemisphere given Volume and Inner Radius
Go Total Surface Area of Hollow Hemisphere = pi*(3*((3*Volume of Hollow Hemisphere)/(2*pi)+Inner Radius of Hollow Hemisphere^3)^(2/3)+Inner Radius of Hollow Hemisphere^2)
Total Surface Area of Hollow Hemisphere given Shell Thickness and Inner Radius
Go Total Surface Area of Hollow Hemisphere = pi*(3*(Shell Thickness of Hollow Hemisphere+Inner Radius of Hollow Hemisphere)^2+Inner Radius of Hollow Hemisphere^2)
Total Surface Area of Hollow Hemisphere given Shell Thickness and Outer Radius
Go Total Surface Area of Hollow Hemisphere = pi*(3*Outer Radius of Hollow Hemisphere^2+(Outer Radius of Hollow Hemisphere-Shell Thickness of Hollow Hemisphere)^2)

Total Surface Area of Hollow Hemisphere given Volume and Outer Radius Formula

Total Surface Area of Hollow Hemisphere = pi*(3*Outer Radius of Hollow Hemisphere^2+((Outer Radius of Hollow Hemisphere^3-((3*Volume of Hollow Hemisphere)/(2*pi)))^(2/3)))
TSA = pi*(3*rOuter^2+((rOuter^3-((3*V)/(2*pi)))^(2/3)))

What is Hollow Hemisphere?

A Hollow Hemisphere is a three-dimensional object with only the outer circular bowl boundary, and nothing is filled inside. It is made of two hemispheres of different sizes and with the same center and same slice plane, where the smaller hemisphere is subtracted from the larger.

How to Calculate Total Surface Area of Hollow Hemisphere given Volume and Outer Radius?

Total Surface Area of Hollow Hemisphere given Volume and Outer Radius calculator uses Total Surface Area of Hollow Hemisphere = pi*(3*Outer Radius of Hollow Hemisphere^2+((Outer Radius of Hollow Hemisphere^3-((3*Volume of Hollow Hemisphere)/(2*pi)))^(2/3))) to calculate the Total Surface Area of Hollow Hemisphere, Total Surface Area of Hollow Hemisphere given Volume and Outer Radius formula is defined as the total amount of 2d space occupied by all the faces of the Hollow Hemisphere, calculated using the volume and outer radius of the Hollow Hemisphere. Total Surface Area of Hollow Hemisphere is denoted by TSA symbol.

How to calculate Total Surface Area of Hollow Hemisphere given Volume and Outer Radius using this online calculator? To use this online calculator for Total Surface Area of Hollow Hemisphere given Volume and Outer Radius, enter Outer Radius of Hollow Hemisphere (rOuter) & Volume of Hollow Hemisphere (V) and hit the calculate button. Here is how the Total Surface Area of Hollow Hemisphere given Volume and Outer Radius calculation can be explained with given input values -> 1671.299 = pi*(3*12^2+((12^3-((3*1525)/(2*pi)))^(2/3))).

FAQ

What is Total Surface Area of Hollow Hemisphere given Volume and Outer Radius?
Total Surface Area of Hollow Hemisphere given Volume and Outer Radius formula is defined as the total amount of 2d space occupied by all the faces of the Hollow Hemisphere, calculated using the volume and outer radius of the Hollow Hemisphere and is represented as TSA = pi*(3*rOuter^2+((rOuter^3-((3*V)/(2*pi)))^(2/3))) or Total Surface Area of Hollow Hemisphere = pi*(3*Outer Radius of Hollow Hemisphere^2+((Outer Radius of Hollow Hemisphere^3-((3*Volume of Hollow Hemisphere)/(2*pi)))^(2/3))). Outer Radius of Hollow Hemisphere is a line segment from the center to a point on the curved surface of the outer circular base of the Hollow Hemisphere & Volume of Hollow Hemisphere is the measure of three-dimensional space enclosed by all the faces of the Hollow Hemisphere.
How to calculate Total Surface Area of Hollow Hemisphere given Volume and Outer Radius?
Total Surface Area of Hollow Hemisphere given Volume and Outer Radius formula is defined as the total amount of 2d space occupied by all the faces of the Hollow Hemisphere, calculated using the volume and outer radius of the Hollow Hemisphere is calculated using Total Surface Area of Hollow Hemisphere = pi*(3*Outer Radius of Hollow Hemisphere^2+((Outer Radius of Hollow Hemisphere^3-((3*Volume of Hollow Hemisphere)/(2*pi)))^(2/3))). To calculate Total Surface Area of Hollow Hemisphere given Volume and Outer Radius, you need Outer Radius of Hollow Hemisphere (rOuter) & Volume of Hollow Hemisphere (V). With our tool, you need to enter the respective value for Outer Radius of Hollow Hemisphere & Volume of Hollow Hemisphere 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 Hollow Hemisphere?
In this formula, Total Surface Area of Hollow Hemisphere uses Outer Radius of Hollow Hemisphere & Volume of Hollow Hemisphere. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • Total Surface Area of Hollow Hemisphere = pi*((2*(Outer Radius of Hollow Hemisphere^2+Inner Radius of Hollow Hemisphere^2))+(Outer Radius of Hollow Hemisphere^2-Inner Radius of Hollow Hemisphere^2))
  • Total Surface Area of Hollow Hemisphere = pi*(3*(Shell Thickness of Hollow Hemisphere+Inner Radius of Hollow Hemisphere)^2+Inner Radius of Hollow Hemisphere^2)
  • Total Surface Area of Hollow Hemisphere = pi*(3*Outer Radius of Hollow Hemisphere^2+(Outer Radius of Hollow Hemisphere-Shell Thickness of Hollow Hemisphere)^2)
  • Total Surface Area of Hollow Hemisphere = pi*(3*((3*Volume of Hollow Hemisphere)/(2*pi)+Inner Radius of Hollow Hemisphere^3)^(2/3)+Inner Radius of Hollow Hemisphere^2)
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