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Inner height of Hollow Pyramid given volume Solution

STEP 0: Pre-Calculation Summary
Formula Used
inner_height = ((3*Volume*4*(tan(pi/Base vertices)))/(Base vertices*Side^2))
hInner = ((3*V*4*(tan(pi/n)))/(n*S^2))
This formula uses 1 Constants, 1 Functions, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
tan - Trigonometric tangent function, tan(Angle)
Variables Used
Volume - Volume is the amount of space that a substance or object occupies or that is enclosed within a container. (Measured in Cubic Meter)
Base vertices - Base vertices is the number of base vertices of Regular Bipyramid. (Measured in Hundred)
Side - The side is an upright or sloping surface of a structure or object that is not the top or bottom and generally not the front or back. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Volume: 63 Cubic Meter --> 63 Cubic Meter No Conversion Required
Base vertices: 4 Hundred --> 4 Hundred No Conversion Required
Side: 9 Meter --> 9 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
hInner = ((3*V*4*(tan(pi/n)))/(n*S^2)) --> ((3*63*4*(tan(pi/4)))/(4*9^2))
Evaluating ... ...
hInner = 2.33333333333333
STEP 3: Convert Result to Output's Unit
2.33333333333333 Meter --> No Conversion Required
FINAL ANSWER
2.33333333333333 Meter <-- Inner Height
(Calculation completed in 00.015 seconds)

6 Edge and Height of Hollow Pyramid Calculators

Total height of Hollow Pyramid given volume
height = ((3*Volume*4*(tan(pi/Base vertices)))/(Base vertices*Side^2)) +Missing Height Go
Edge length n gon of Hollow Pyramid
side = sqrt((3*Volume*4*tan(pi/Base vertices))/(Base vertices*Inner Height)) Go
Inner height of Hollow Pyramid given volume
inner_height = ((3*Volume*4*(tan(pi/Base vertices)))/(Base vertices*Side^2)) Go
Missing height of Hollow Pyramid
missing_height = Height-Inner Height Go
Total height of Hollow Pyramid
height = Inner Height+Missing Height Go
Inner height of Hollow Pyramid
inner_height = Height-Missing Height Go

Inner height of Hollow Pyramid given volume Formula

inner_height = ((3*Volume*4*(tan(pi/Base vertices)))/(Base vertices*Side^2))
hInner = ((3*V*4*(tan(pi/n)))/(n*S^2))

What is Pyramid?

A pyramid is a structure whose outer surfaces are triangular and converge to a single step at the top, making the shape roughly a pyramid in the geometric sense. The base of a pyramid can be trilateral, quadrilateral, or of any polygon shape. As such, a pyramid has at least three outer triangular surfaces.

How to Calculate Inner height of Hollow Pyramid given volume?

Inner height of Hollow Pyramid given volume calculator uses inner_height = ((3*Volume*4*(tan(pi/Base vertices)))/(Base vertices*Side^2)) to calculate the Inner Height, The Inner height of Hollow Pyramid given volume formula is defined as subtraction of Missing height from Total height. Inner Height and is denoted by hInner symbol.

How to calculate Inner height of Hollow Pyramid given volume using this online calculator? To use this online calculator for Inner height of Hollow Pyramid given volume, enter Volume (V), Base vertices (n) & Side (S) and hit the calculate button. Here is how the Inner height of Hollow Pyramid given volume calculation can be explained with given input values -> 2.333333 = ((3*63*4*(tan(pi/4)))/(4*9^2)) .

FAQ

What is Inner height of Hollow Pyramid given volume?
The Inner height of Hollow Pyramid given volume formula is defined as subtraction of Missing height from Total height and is represented as hInner = ((3*V*4*(tan(pi/n)))/(n*S^2)) or inner_height = ((3*Volume*4*(tan(pi/Base vertices)))/(Base vertices*Side^2)) . Volume is the amount of space that a substance or object occupies or that is enclosed within a container, Base vertices is the number of base vertices of Regular Bipyramid & The side is an upright or sloping surface of a structure or object that is not the top or bottom and generally not the front or back.
How to calculate Inner height of Hollow Pyramid given volume?
The Inner height of Hollow Pyramid given volume formula is defined as subtraction of Missing height from Total height is calculated using inner_height = ((3*Volume*4*(tan(pi/Base vertices)))/(Base vertices*Side^2)) . To calculate Inner height of Hollow Pyramid given volume, you need Volume (V), Base vertices (n) & Side (S). With our tool, you need to enter the respective value for Volume, Base vertices & Side 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 Inner Height?
In this formula, Inner Height uses Volume, Base vertices & Side. We can use 6 other way(s) to calculate the same, which is/are as follows -
  • height = Inner Height+Missing Height
  • inner_height = Height-Missing Height
  • missing_height = Height-Inner Height
  • inner_height = ((3*Volume*4*(tan(pi/Base vertices)))/(Base vertices*Side^2))
  • height = ((3*Volume*4*(tan(pi/Base vertices)))/(Base vertices*Side^2)) +Missing Height
  • side = sqrt((3*Volume*4*tan(pi/Base vertices))/(Base vertices*Inner Height))
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