Volume of Spherical Segment given Center to Base and Top to Top Radius Length Calculator

✖Radius of Spherical Segment is the line segment extending from the center to the circumference of Sphere in which Spherical Segment is bounded.ⓘ Radius of Spherical Segment [r]			+10% -10%
✖Center to Base Radius Length of Spherical Segment is the distance measured from the center of Spherical Segment to Base Radius of Spherical Segment.ⓘ Center to Base Radius Length of Spherical Segment [l_Center-Base]			+10% -10%
✖Top to Top Radius Length of Spherical Segment is the distance measured from the top of Spherical Segment to Top Radius of Spherical Segment.ⓘ Top to Top Radius Length of Spherical Segment [l_Top-Top]			+10% -10%
✖Top Radius of Spherical Segment is a radial line from the center to any point on the circumference of the top base of a Spherical Segment.ⓘ Top Radius of Spherical Segment [r_Top]			+10% -10%
✖Base Radius of Spherical Segment is a radial line from the center to any point on the circumference of the base of the Spherical Segment.ⓘ Base Radius of Spherical Segment [r_Base]			+10% -10%

✖Volume of Spherical Segment is the amount of three dimensional space occupied by the Spherical Segment.ⓘ Volume of Spherical Segment given Center to Base and Top to Top Radius Length [V]

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Volume of Spherical Segment given Center to Base and Top to Top Radius Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Spherical Segment = 1/2*pi*(Radius of Spherical Segment-Center to Base Radius Length of Spherical Segment-Top to Top Radius Length of Spherical Segment)*(Top Radius of Spherical Segment^2+Base Radius of Spherical Segment^2+(Radius of Spherical Segment-Center to Base Radius Length of Spherical Segment-Top to Top Radius Length of Spherical Segment)^2/3)
V = 1/2*pi*(r-l_Center-Base-l_Top-Top)*(r_Top^2+r_Base^2+(r-l_Center-Base-l_Top-Top)^2/3)
This formula uses 1 Constants, 6 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Volume of Spherical Segment - (Measured in Cubic Meter) - Volume of Spherical Segment is the amount of three dimensional space occupied by the Spherical Segment.
Radius of Spherical Segment - (Measured in Meter) - Radius of Spherical Segment is the line segment extending from the center to the circumference of Sphere in which Spherical Segment is bounded.
Center to Base Radius Length of Spherical Segment - (Measured in Meter) - Center to Base Radius Length of Spherical Segment is the distance measured from the center of Spherical Segment to Base Radius of Spherical Segment.
Top to Top Radius Length of Spherical Segment - (Measured in Meter) - Top to Top Radius Length of Spherical Segment is the distance measured from the top of Spherical Segment to Top Radius of Spherical Segment.
Top Radius of Spherical Segment - (Measured in Meter) - Top Radius of Spherical Segment is a radial line from the center to any point on the circumference of the top base of a Spherical Segment.
Base Radius of Spherical Segment - (Measured in Meter) - Base Radius of Spherical Segment is a radial line from the center to any point on the circumference of the base of the Spherical Segment.

STEP 1: Convert Input(s) to Base Unit

Radius of Spherical Segment: 10 Meter --> 10 Meter No Conversion Required
Center to Base Radius Length of Spherical Segment: 1.5 Meter --> 1.5 Meter No Conversion Required
Top to Top Radius Length of Spherical Segment: 4 Meter --> 4 Meter No Conversion Required
Top Radius of Spherical Segment: 8 Meter --> 8 Meter No Conversion Required
Base Radius of Spherical Segment: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = 1/2*pi*(r-l_Center-Base-l_Top-Top)*(r_Top^2+r_Base^2+(r-l_Center-Base-l_Top-Top)^2/3) --> 1/2*pi*(10-1.5-4)*(8^2+10^2+(10-1.5-4)^2/3)

Evaluating ... ...

V = 1206.96062760103

STEP 3: Convert Result to Output's Unit

1206.96062760103 Cubic Meter --> No Conversion Required

FINAL ANSWER

1206.96062760103 ≈ 1206.961 Cubic Meter <-- Volume of Spherical Segment

(Calculation completed in 00.004 seconds)

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Home » Math » Geometry » 3D Geometry » Spherical Segment » Volume of Spherical Segment » Volume of Spherical Segment given Center to Base and Top to Top Radius Length

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Created by Nikhil

Mumbai University (DJSCE), Mumbai

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Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand

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< Volume of Spherical Segment Calculators

Volume of Spherical Segment given Total Surface Area and Radius

LaTeX Go Volume of Spherical Segment = (Total Surface Area of Spherical Segment-(pi*(Base Radius of Spherical Segment^2+Top Radius of Spherical Segment^2)))/(12*Radius of Spherical Segment)*(3*Top Radius of Spherical Segment^2+3*Base Radius of Spherical Segment^2+((Total Surface Area of Spherical Segment-(pi*(Base Radius of Spherical Segment^2+Top Radius of Spherical Segment^2)))/(2*pi*Radius of Spherical Segment))^2)

Volume of Spherical Segment given Center to Base and Top to Top Radius Length

LaTeX Go Volume of Spherical Segment = 1/2*pi*(Radius of Spherical Segment-Center to Base Radius Length of Spherical Segment-Top to Top Radius Length of Spherical Segment)*(Top Radius of Spherical Segment^2+Base Radius of Spherical Segment^2+(Radius of Spherical Segment-Center to Base Radius Length of Spherical Segment-Top to Top Radius Length of Spherical Segment)^2/3)

Volume of Spherical Segment

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

Volume of Spherical Segment given Center to Base and Top to Top Radius Length Formula

LaTeX Go

What is Spherical Segment?

In geometry, a Spherical Segment is the solid defined by cutting a sphere with a pair of parallel planes . It can be thought of as a spherical cap with the top truncated, and so it corresponds to a spherical frustum.

How to Calculate Volume of Spherical Segment given Center to Base and Top to Top Radius Length?

Volume of Spherical Segment given Center to Base and Top to Top Radius Length calculator uses Volume of Spherical Segment = 1/2*pi*(Radius of Spherical Segment-Center to Base Radius Length of Spherical Segment-Top to Top Radius Length of Spherical Segment)*(Top Radius of Spherical Segment^2+Base Radius of Spherical Segment^2+(Radius of Spherical Segment-Center to Base Radius Length of Spherical Segment-Top to Top Radius Length of Spherical Segment)^2/3) to calculate the Volume of Spherical Segment, The Volume of Spherical Segment given Center to Base and Top to Top Radius Length formula is defined as the amount of three dimensional space occupied by the Spherical Segment, and calculated using the center to base radius and top to top radius length of Spherical Segment. Volume of Spherical Segment is denoted by V symbol.

How to calculate Volume of Spherical Segment given Center to Base and Top to Top Radius Length using this online calculator? To use this online calculator for Volume of Spherical Segment given Center to Base and Top to Top Radius Length, enter Radius of Spherical Segment (r), Center to Base Radius Length of Spherical Segment (l_Center-Base), Top to Top Radius Length of Spherical Segment (l_Top-Top), Top Radius of Spherical Segment (r_Top) & Base Radius of Spherical Segment (r_Base) and hit the calculate button. Here is how the Volume of Spherical Segment given Center to Base and Top to Top Radius Length calculation can be explained with given input values -> 1206.961 = 1/2*pi*(10-1.5-4)*(8^2+10^2+(10-1.5-4)^2/3).

FAQ

What is Volume of Spherical Segment given Center to Base and Top to Top Radius Length?

The Volume of Spherical Segment given Center to Base and Top to Top Radius Length formula is defined as the amount of three dimensional space occupied by the Spherical Segment, and calculated using the center to base radius and top to top radius length of Spherical Segment and is represented as V = 1/2*pi*(r-l_Center-Base-l_Top-Top)*(r_Top^2+r_Base^2+(r-l_Center-Base-l_Top-Top)^2/3) or Volume of Spherical Segment = 1/2*pi*(Radius of Spherical Segment-Center to Base Radius Length of Spherical Segment-Top to Top Radius Length of Spherical Segment)*(Top Radius of Spherical Segment^2+Base Radius of Spherical Segment^2+(Radius of Spherical Segment-Center to Base Radius Length of Spherical Segment-Top to Top Radius Length of Spherical Segment)^2/3). Radius of Spherical Segment is the line segment extending from the center to the circumference of Sphere in which Spherical Segment is bounded, Center to Base Radius Length of Spherical Segment is the distance measured from the center of Spherical Segment to Base Radius of Spherical Segment, Top to Top Radius Length of Spherical Segment is the distance measured from the top of Spherical Segment to Top Radius of Spherical Segment, Top Radius of Spherical Segment is a radial line from the center to any point on the circumference of the top base of a Spherical Segment & Base Radius of Spherical Segment is a radial line from the center to any point on the circumference of the base of the Spherical Segment.

How to calculate Volume of Spherical Segment given Center to Base and Top to Top Radius Length?

The Volume of Spherical Segment given Center to Base and Top to Top Radius Length formula is defined as the amount of three dimensional space occupied by the Spherical Segment, and calculated using the center to base radius and top to top radius length of Spherical Segment is calculated using Volume of Spherical Segment = 1/2*pi*(Radius of Spherical Segment-Center to Base Radius Length of Spherical Segment-Top to Top Radius Length of Spherical Segment)*(Top Radius of Spherical Segment^2+Base Radius of Spherical Segment^2+(Radius of Spherical Segment-Center to Base Radius Length of Spherical Segment-Top to Top Radius Length of Spherical Segment)^2/3). To calculate Volume of Spherical Segment given Center to Base and Top to Top Radius Length, you need Radius of Spherical Segment (r), Center to Base Radius Length of Spherical Segment (l_Center-Base), Top to Top Radius Length of Spherical Segment (l_Top-Top), Top Radius of Spherical Segment (r_Top) & Base Radius of Spherical Segment (r_Base). With our tool, you need to enter the respective value for Radius of Spherical Segment, Center to Base Radius Length of Spherical Segment, Top to Top Radius Length of Spherical Segment, Top Radius of Spherical Segment & Base Radius of Spherical Segment 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 Volume of Spherical Segment?

In this formula, Volume of Spherical Segment uses Radius of Spherical Segment, Center to Base Radius Length of Spherical Segment, Top to Top Radius Length of Spherical Segment, Top Radius of Spherical Segment & Base Radius of Spherical Segment. We can use 2 other way(s) to calculate the same, which is/are as follows -

Volume of Spherical Segment = 1/2*pi*Height of Spherical Segment*(Top Radius of Spherical Segment^2+Base Radius of Spherical Segment^2+Height of Spherical Segment^2/3)
Volume of Spherical Segment = (Total Surface Area of Spherical Segment-(pi*(Base Radius of Spherical Segment^2+Top Radius of Spherical Segment^2)))/(12*Radius of Spherical Segment)*(3*Top Radius of Spherical Segment^2+3*Base Radius of Spherical Segment^2+((Total Surface Area of Spherical Segment-(pi*(Base Radius of Spherical Segment^2+Top Radius of Spherical Segment^2)))/(2*pi*Radius of Spherical Segment))^2)

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