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

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Volume of Spherical Segment is the amount of three dimensional space occupied by the Spherical Segment. Check FAQs

V = \frac{1}{2} \cdot π \cdot (r - l Center-Base - l Top-Top) \cdot ({r Top}^{2} + {r Base}^{2} + \frac{{(r - l Center-Base - l Top-Top)}^{2}}{3})

V - Volume of Spherical Segment?r - Radius of Spherical Segment?l_Center-Base - Center to Base Radius Length of Spherical Segment?l_Top-Top - Top to Top Radius Length of Spherical Segment?r_Top - Top Radius of Spherical Segment?r_Base - Base Radius of Spherical Segment?π - Archimedes' constant?

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

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Here is how the Volume of Spherical Segment given Center to Base and Top to Top Radius Length equation looks like with Values.

Here is how the Volume of Spherical Segment given Center to Base and Top to Top Radius Length equation looks like with Units.

Here is how the Volume of Spherical Segment given Center to Base and Top to Top Radius Length equation looks like.

1206.9606 = \frac{1}{2} \cdot 3.1416 \cdot (10 - 1.5 - 4) \cdot (8^{2} + 10^{2} + \frac{{(10 - 1.5 - 4)}^{2}}{3})

1206.9606m³ = \frac{1}{2} \cdot 3.1416 \cdot (10m - 1.5m - 4m) \cdot ({8m}^{2} + {10m}^{2} + \frac{{(10m - 1.5m - 4m)}^{2}}{3})

1206.9606 = \frac{1}{2} \cdot 3.1416 \cdot (10 - 1.5 - 4) \cdot (8^{2} + 10^{2} + \frac{{(10 - 1.5 - 4)}^{2}}{3})

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

Follow our step by step solution on how to calculate Volume of Spherical Segment given Center to Base and Top to Top Radius Length?

FIRST Step Consider the formula

V = \frac{1}{2} \cdot π \cdot (r - l Center-Base - l Top-Top) \cdot ({r Top}^{2} + {r Base}^{2} + \frac{{(r - l Center-Base - l Top-Top)}^{2}}{3})

Next Step Substitute values of Variables

∴

V = \frac{1}{2} \cdot π \cdot (10m - 1.5m - 4m) \cdot ({8m}^{2} + {10m}^{2} + \frac{{(10m - 1.5m - 4m)}^{2}}{3})

Next Step Substitute values of Constants

∴

V = \frac{1}{2} \cdot 3.1416 \cdot (10m - 1.5m - 4m) \cdot ({8m}^{2} + {10m}^{2} + \frac{{(10m - 1.5m - 4m)}^{2}}{3})

Next Step Prepare to Evaluate

∴

V = \frac{1}{2} \cdot 3.1416 \cdot (10 - 1.5 - 4) \cdot (8^{2} + 10^{2} + \frac{{(10 - 1.5 - 4)}^{2}}{3})

Next Step Evaluate

∴

V = 1206.96062760103m³

LAST Step Rounding Answer

∴

V = 1206.9606m³

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

Variables

Constants

Volume of Spherical Segment

Volume of Spherical Segment is the amount of three dimensional space occupied by the Spherical Segment.

Symbol: V

Measurement: VolumeUnit: m³