Diameter of circumscribing sphere when diameter and height of circumscribed cylinder is known Calculator

Main Category	Math ↺
Math	Geometry ↺
Geometry	Circumscribed Solids ↺
Circumscribed Solids	Circumscribed Sphere ↺

✖Diameter is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.ⓘ Diameter [d]			+10% -10%
✖Height is the distance between the lowest and highest points of a person standing upright.ⓘ Height [h]			+10% -10%

✖Diameter of Sphere, is a chord that runs through the center point of the circle. It is the longest possible chord of any circle. The center of a circle is the midpoint of its diameter.ⓘ Diameter of circumscribing sphere when diameter and height of circumscribed cylinder is known [D]

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Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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Softusvista Office (Pune), India

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Diameter of circumscribing sphere when diameter and height of circumscribed cylinder is known Solution

STEP 0: Pre-Calculation Summary

Formula Used

diameter_sphere = sqrt(Diameter^2+Height^2)
D = sqrt(d^2+h^2)
This formula uses 1 Functions, 2 Variables

Functions Used

sqrt - Squre root function, sqrt(Number)

Variables Used

Diameter - Diameter is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere. (Measured in Meter)
Height - Height is the distance between the lowest and highest points of a person standing upright. (Measured in Meter)

STEP 1: Convert Input(s) to Base Unit

Diameter: 10 Meter --> 10 Meter No Conversion Required
Height: 12 Meter --> 12 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D = sqrt(d^2+h^2) --> sqrt(10^2+12^2)

Evaluating ... ...

D = 15.6204993518133

STEP 3: Convert Result to Output's Unit

15.6204993518133 Meter --> No Conversion Required

FINAL ANSWER

15.6204993518133 Meter <-- Diameter of Sphere

(Calculation completed in 00.016 seconds)

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< 5 Circumscribed Sphere Calculators

Diameter of circumscribing sphere when diameter and height of circumscribed cylinder is known

diameter_sphere = sqrt(Diameter^2+Height^2) Go

Volume of a circumscribed sphere in terms of cube Side length

volume = (4/3)*pi*((Side*(sqrt(3))/2)^3) Go

Surface Area of Sphere circumscribing a cylinder

surface_area = pi*(Diameter of Sphere^2) Go

Volume of Sphere circumscribing a cylinder

volume = pi*(Diameter of Sphere^3)/6 Go

The Radius (R) of a sphere that circumscribes a cube with side length S

radius_1 = Side*(sqrt(3))/2 Go

Diameter of circumscribing sphere when diameter and height of circumscribed cylinder is known Formula

diameter_sphere = sqrt(Diameter^2+Height^2)
D = sqrt(d^2+h^2)

What is the difference between a circle and a sphere?

A Circle is a two-dimensional figure whereas, a Sphere is a three-dimensional object. A circle has all points at the same distance from its center along a plane, whereas in a sphere all the points are equidistant from the center at any of the axes.

How to Calculate Diameter of circumscribing sphere when diameter and height of circumscribed cylinder is known?

Diameter of circumscribing sphere when diameter and height of circumscribed cylinder is known calculator uses diameter_sphere = sqrt(Diameter^2+Height^2) to calculate the Diameter of Sphere, Diameter of circumscribing sphere when diameter and height of circumscribed cylinder is known, is a chord that runs through the center point of the circle. It is the longest possible chord of any circle. The center of a circle is the midpoint of its diameter. Diameter of Sphere and is denoted by D symbol.

How to calculate Diameter of circumscribing sphere when diameter and height of circumscribed cylinder is known using this online calculator? To use this online calculator for Diameter of circumscribing sphere when diameter and height of circumscribed cylinder is known, enter Diameter (d) and Height (h) and hit the calculate button. Here is how the Diameter of circumscribing sphere when diameter and height of circumscribed cylinder is known calculation can be explained with given input values -> 15.6205 = sqrt(10^2+12^2).

FAQ

What is Diameter of circumscribing sphere when diameter and height of circumscribed cylinder is known?

Diameter of circumscribing sphere when diameter and height of circumscribed cylinder is known, is a chord that runs through the center point of the circle. It is the longest possible chord of any circle. The center of a circle is the midpoint of its diameter and is represented as D = sqrt(d^2+h^2) or diameter_sphere = sqrt(Diameter^2+Height^2). Diameter is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere and Height is the distance between the lowest and highest points of a person standing upright.

How to calculate Diameter of circumscribing sphere when diameter and height of circumscribed cylinder is known?

Diameter of circumscribing sphere when diameter and height of circumscribed cylinder is known, is a chord that runs through the center point of the circle. It is the longest possible chord of any circle. The center of a circle is the midpoint of its diameter is calculated using diameter_sphere = sqrt(Diameter^2+Height^2). To calculate Diameter of circumscribing sphere when diameter and height of circumscribed cylinder is known, you need Diameter (d) and Height (h). With our tool, you need to enter the respective value for Diameter and Height 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 Diameter of Sphere?

In this formula, Diameter of Sphere uses Diameter and Height. We can use 5 other way(s) to calculate the same, which is/are as follows -

radius_1 = Side*(sqrt(3))/2
volume = (4/3)*pi*((Side*(sqrt(3))/2)^3)
diameter_sphere = sqrt(Diameter^2+Height^2)
volume = pi*(Diameter of Sphere^3)/6
surface_area = pi*(Diameter of Sphere^2)

Where is the Diameter of circumscribing sphere when diameter and height of circumscribed cylinder is known calculator used?

Among many, Diameter of circumscribing sphere when diameter and height of circumscribed cylinder is known calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
{FormulaExamplesList}

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