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Height of Cone inscribed in a sphere for maximum volume of cone in terms of radius of sphere Solution

STEP 0: Pre-Calculation Summary
Formula Used
height = 4*Radius of Sphere/3
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
FINAL ANSWER
16 Meter <-- Height
(Calculation completed in 00.015 seconds)

4 Inscribed Cone Calculators

Volume of Cone inscribed in a sphere when radius of sphere and cone are given
volume = ((pi*Radius of cone^2*Radius of Sphere)/3)+((pi*Radius of cone*sqrt(Radius of Sphere^2-Radius of cone))/3) Go
Radius of cone inscribed in a sphere for maximum volume of cone in terms of radius of sphere
radius_1 = 2*sqrt(2)*Radius of Sphere/3 Go
Volume of Cone inscribed in a sphere for maximum volume of cone in terms of radius of sphere
volume = (32*Radius of Sphere^3)/81 Go
Height of Cone inscribed in a sphere for maximum volume of cone in terms of radius of sphere
height = 4*Radius of Sphere/3 Go

Height of Cone inscribed in a sphere for maximum volume of cone in terms of radius of sphere Formula

height = 4*Radius of Sphere/3
h = 4*R/3

What is the cone?

A cone is a three-dimensional geometric shape that tapers smoothly from a flat base (frequently, though not necessarily, circular) to a point called the apex or vertex. If the enclosed points are included in the base, the cone is a solid object; otherwise it is a two-dimensional object in three-dimensional space.

What is the sphere?

A sphere (from Greek σφαῖρα—sphaira, "globe, ball") is a geometrical object in three-dimensional space that is the surface of a ball (viz., analogous to the circular objects in two dimensions, where a "circle" circumscribes its "disk"). These are also referred to as the radius and center of the sphere, respectively.

How to Calculate Height of Cone inscribed in a sphere for maximum volume of cone in terms of radius of sphere?

Height of Cone inscribed in a sphere for maximum volume of cone in terms of radius of sphere calculator uses height = 4*Radius of Sphere/3 to calculate the Height, Height of cone inscribed in a sphere for maximum volume of cone in terms of radius of sphere is the part that rises or extends upward the greatest distance. . Height and is denoted by h symbol.

How to calculate Height of Cone inscribed in a sphere for maximum volume of cone in terms of radius of sphere using this online calculator? To use this online calculator for Height of Cone inscribed in a sphere for maximum volume of cone in terms of radius of sphere, enter Radius of Sphere (R) and hit the calculate button. Here is how the Height of Cone inscribed in a sphere for maximum volume of cone in terms of radius of sphere calculation can be explained with given input values -> 16 = 4*12/3.

FAQ

What is Height of Cone inscribed in a sphere for maximum volume of cone in terms of radius of sphere?
Height of cone inscribed in a sphere for maximum volume of cone in terms of radius of sphere is the part that rises or extends upward the greatest distance. 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 Height of Cone inscribed in a sphere for maximum volume of cone in terms of radius of sphere?
Height of cone inscribed in a sphere for maximum volume of cone in terms of radius of sphere is the part that rises or extends upward the greatest distance. is calculated using height = 4*Radius of Sphere/3. To calculate Height of Cone inscribed in a sphere for maximum volume of cone in terms of radius of sphere, 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 4 other way(s) to calculate the same, which is/are as follows -
  • volume = ((pi*Radius of cone^2*Radius of Sphere)/3)+((pi*Radius of cone*sqrt(Radius of Sphere^2-Radius of cone))/3)
  • volume = (32*Radius of Sphere^3)/81
  • radius_1 = 2*sqrt(2)*Radius of Sphere/3
  • height = 4*Radius of Sphere/3
Where is the Height of Cone inscribed in a sphere for maximum volume of cone in terms of radius of sphere calculator used?
Among many, Height of Cone inscribed in a sphere for maximum volume of cone in terms of radius of sphere calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
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