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## Credits

National Institute Of Technology (NIT), Hamirpur
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## Altitude of the largest right pyramid with a square base that can be inscribed in a sphere of radius a Solution

STEP 0: Pre-Calculation Summary
Formula Used
h = 4*R/3
This formula uses 1 Variables
Variables Used
Radius of Sphere - Radius of Sphere is a line segment extending from the center of a circle or sphere to the circumference or bounding surface. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Radius of Sphere: 12 Meter --> 12 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
h = 4*R/3 --> 4*12/3
Evaluating ... ...
h = 16
STEP 3: Convert Result to Output's Unit
16 Meter --> No Conversion Required
16 Meter <-- Height
(Calculation completed in 00.016 seconds)

## < 3 Inscribed Pyramid Calculators

Volume of the largest right pyramid with a square base that can be inscribed in a sphere of radius a
volume = 64*(Radius of Sphere^3)/81 Go
Altitude of the largest right pyramid with a square base that can be inscribed in a sphere of radius a
height = 4*Radius of Sphere/3 Go
Base length of the largest right pyramid with a square base that can be inscribed in a sphere of radius a
base = 4*Radius of Sphere/3 Go

h = 4*R/3

## What is square pyramid?

In geometry, a square pyramid is a pyramid having a square base. If the apex is perpendicularly above the center of the square, it is a right square pyramid, and has C4v symmetry. If all edges are equal, it is an equilateral square pyramid, the Johnson solid J1.

## How to Calculate Altitude of the largest right pyramid with a square base that can be inscribed in a sphere of radius a?

Altitude of the largest right pyramid with a square base that can be inscribed in a sphere of radius a calculator uses height = 4*Radius of Sphere/3 to calculate the Height, Altitude of the largest right pyramid with a square base that can be inscribed in a sphere of radius a is measure of vertical distance, either vertical extent or vertical position . Height and is denoted by h symbol.

How to calculate Altitude of the largest right pyramid with a square base that can be inscribed in a sphere of radius a using this online calculator? To use this online calculator for Altitude of the largest right pyramid with a square base that can be inscribed in a sphere of radius a, enter Radius of Sphere (R) and hit the calculate button. Here is how the Altitude of the largest right pyramid with a square base that can be inscribed in a sphere of radius a calculation can be explained with given input values -> 16 = 4*12/3.

### FAQ

What is Altitude of the largest right pyramid with a square base that can be inscribed in a sphere of radius a?
Altitude of the largest right pyramid with a square base that can be inscribed in a sphere of radius a is measure of vertical distance, either vertical extent or vertical position and is represented as h = 4*R/3 or height = 4*Radius of Sphere/3. Radius of Sphere is a line segment extending from the center of a circle or sphere to the circumference or bounding surface.
How to calculate Altitude of the largest right pyramid with a square base that can be inscribed in a sphere of radius a?
Altitude of the largest right pyramid with a square base that can be inscribed in a sphere of radius a is measure of vertical distance, either vertical extent or vertical position is calculated using height = 4*Radius of Sphere/3. To calculate Altitude of the largest right pyramid with a square base that can be inscribed in a sphere of radius a, you need Radius of Sphere (R). With our tool, you need to enter the respective value for Radius of Sphere 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 Height?
In this formula, Height uses Radius of Sphere. We can use 3 other way(s) to calculate the same, which is/are as follows -
• height = 4*Radius of Sphere/3
• base = 4*Radius of Sphere/3
• volume = 64*(Radius of Sphere^3)/81
Where is the Altitude of the largest right pyramid with a square base that can be inscribed in a sphere of radius a calculator used?
Among many, Altitude of the largest right pyramid with a square base that can be inscribed in a sphere of radius a calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
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