Volume of Spherical Zone Calculator

✖Height of Spherical Zone is the vertical distance between top and bottom circular faces of the Spherical Zone.ⓘ Height of Spherical Zone [h]			+10% -10%
✖Top Radius of Spherical Zone is a radial line from the center to any point on the circumference of the top base of a Spherical Zone.ⓘ Top Radius of Spherical Zone [r_Top]			+10% -10%
✖Base Radius of Spherical Zone is a radial line from the center to any point on the circumference of the base of the Spherical Zone.ⓘ Base Radius of Spherical Zone [r_Base]			+10% -10%

✖Volume of Spherical Zone is defined as the amount of three dimensional space occupied by the Spherical Zone.ⓘ Volume of Spherical Zone [V]

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Formula

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Volume of Spherical Zone

Formula

`"V" = 1/2*pi*"h"*("r"_{"Top"}^2+"r"_{"Base"}^2+"h"^2/3)`

Example

`"4905.073m³"=1/2*pi*"8m"*(("12m")^2+("15m")^2+("8m")^2/3)`

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Volume of Spherical Zone Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Spherical Zone = 1/2*pi*Height of Spherical Zone*(Top Radius of Spherical Zone^2+Base Radius of Spherical Zone^2+Height of Spherical Zone^2/3)
V = 1/2*pi*h*(r_Top^2+r_Base^2+h^2/3)
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Volume of Spherical Zone - (Measured in Cubic Meter) - Volume of Spherical Zone is defined as the amount of three dimensional space occupied by the Spherical Zone.
Height of Spherical Zone - (Measured in Meter) - Height of Spherical Zone is the vertical distance between top and bottom circular faces of the Spherical Zone.
Top Radius of Spherical Zone - (Measured in Meter) - Top Radius of Spherical Zone is a radial line from the center to any point on the circumference of the top base of a Spherical Zone.
Base Radius of Spherical Zone - (Measured in Meter) - Base Radius of Spherical Zone is a radial line from the center to any point on the circumference of the base of the Spherical Zone.

STEP 1: Convert Input(s) to Base Unit

Height of Spherical Zone: 8 Meter --> 8 Meter No Conversion Required
Top Radius of Spherical Zone: 12 Meter --> 12 Meter No Conversion Required
Base Radius of Spherical Zone: 15 Meter --> 15 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = 1/2*pi*h*(r_Top^2+r_Base^2+h^2/3) --> 1/2*pi*8*(12^2+15^2+8^2/3)

Evaluating ... ...

V = 4905.07332980486

STEP 3: Convert Result to Output's Unit

4905.07332980486 Cubic Meter --> No Conversion Required

FINAL ANSWER

4905.07332980486 ≈ 4905.073 Cubic Meter <-- Volume of Spherical Zone

(Calculation completed in 00.004 seconds)

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< 1 Volume of Spherical Zone Calculators

Volume of Spherical Zone

Go Volume of Spherical Zone = 1/2*pi*Height of Spherical Zone*(Top Radius of Spherical Zone^2+Base Radius of Spherical Zone^2+Height of Spherical Zone^2/3)

Volume of Spherical Zone Formula

Volume of Spherical Zone = 1/2*pi*Height of Spherical Zone*(Top Radius of Spherical Zone^2+Base Radius of Spherical Zone^2+Height of Spherical Zone^2/3)
V = 1/2*pi*h*(r_Top^2+r_Base^2+h^2/3)

What is Spherical Zone?

A Spherical zone is the portion of the surface of the sphere included between two parallel planes that cut the sphere. The bases of the zone are the circumference of the sections made by the two parallel planes.

How to Calculate Volume of Spherical Zone?

Volume of Spherical Zone calculator uses Volume of Spherical Zone = 1/2*pi*Height of Spherical Zone*(Top Radius of Spherical Zone^2+Base Radius of Spherical Zone^2+Height of Spherical Zone^2/3) to calculate the Volume of Spherical Zone, The Volume of Spherical Zone formula is defined as the amount of three dimensional space occupied by Spherical Zone. Volume of Spherical Zone is denoted by V symbol.

How to calculate Volume of Spherical Zone using this online calculator? To use this online calculator for Volume of Spherical Zone, enter Height of Spherical Zone (h), Top Radius of Spherical Zone (r_Top) & Base Radius of Spherical Zone (r_Base) and hit the calculate button. Here is how the Volume of Spherical Zone calculation can be explained with given input values -> 4905.073 = 1/2*pi*8*(12^2+15^2+8^2/3).

FAQ

What is Volume of Spherical Zone?

The Volume of Spherical Zone formula is defined as the amount of three dimensional space occupied by Spherical Zone and is represented as V = 1/2*pi*h*(r_Top^2+r_Base^2+h^2/3) or Volume of Spherical Zone = 1/2*pi*Height of Spherical Zone*(Top Radius of Spherical Zone^2+Base Radius of Spherical Zone^2+Height of Spherical Zone^2/3). Height of Spherical Zone is the vertical distance between top and bottom circular faces of the Spherical Zone, Top Radius of Spherical Zone is a radial line from the center to any point on the circumference of the top base of a Spherical Zone & Base Radius of Spherical Zone is a radial line from the center to any point on the circumference of the base of the Spherical Zone.

How to calculate Volume of Spherical Zone?

The Volume of Spherical Zone formula is defined as the amount of three dimensional space occupied by Spherical Zone is calculated using Volume of Spherical Zone = 1/2*pi*Height of Spherical Zone*(Top Radius of Spherical Zone^2+Base Radius of Spherical Zone^2+Height of Spherical Zone^2/3). To calculate Volume of Spherical Zone, you need Height of Spherical Zone (h), Top Radius of Spherical Zone (r_Top) & Base Radius of Spherical Zone (r_Base). With our tool, you need to enter the respective value for Height of Spherical Zone, Top Radius of Spherical Zone & Base Radius of Spherical Zone and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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