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

GoSurface to Volume Ratio of Spherical Segment Formula

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Surface to Volume Ratio of Spherical Segment is the numerical ratio of the total surface area of Spherical Segment to the volume of the Spherical Segment. Check FAQs

R A/V = \frac{(2 \cdot (l Center-Base + h + l Top-Top) \cdot h) + {r Base}^{2} + {r Top}^{2}}{\frac{h}{6} \cdot (3 \cdot {r Top}^{2} + 3 \cdot {r Base}^{2} + h^{2})}

R_A/V - Surface to Volume Ratio of Spherical Segment?l_Center-Base - Center to Base Radius Length of Spherical Segment?h - Height of Spherical Segment?l_Top-Top - Top to Top Radius Length of Spherical Segment?r_Base - Base Radius of Spherical Segment?r_Top - Top Radius of Spherical Segment?

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

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

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

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

0.6244 = \frac{(2 \cdot (1.5 + 5 + 4) \cdot 5) + 10^{2} + 8^{2}}{\frac{5}{6} \cdot (3 \cdot 8^{2} + 3 \cdot 10^{2} + 5^{2})}

0.6244m⁻¹ = \frac{(2 \cdot (1.5m + 5m + 4m) \cdot 5m) + {10m}^{2} + {8m}^{2}}{\frac{5m}{6} \cdot (3 \cdot {8m}^{2} + 3 \cdot {10m}^{2} + {5m}^{2})}

0.6244 = \frac{(2 \cdot (1.5 + 5 + 4) \cdot 5) + 10^{2} + 8^{2}}{\frac{5}{6} \cdot (3 \cdot 8^{2} + 3 \cdot 10^{2} + 5^{2})}

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

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

FIRST Step Consider the formula

R A/V = \frac{(2 \cdot (l Center-Base + h + l Top-Top) \cdot h) + {r Base}^{2} + {r Top}^{2}}{\frac{h}{6} \cdot (3 \cdot {r Top}^{2} + 3 \cdot {r Base}^{2} + h^{2})}

Next Step Substitute values of Variables

∴

R A/V = \frac{(2 \cdot (1.5m + 5m + 4m) \cdot 5m) + {10m}^{2} + {8m}^{2}}{\frac{5m}{6} \cdot (3 \cdot {8m}^{2} + 3 \cdot {10m}^{2} + {5m}^{2})}

Next Step Prepare to Evaluate

∴

R A/V = \frac{(2 \cdot (1.5 + 5 + 4) \cdot 5) + 10^{2} + 8^{2}}{\frac{5}{6} \cdot (3 \cdot 8^{2} + 3 \cdot 10^{2} + 5^{2})}

Next Step Evaluate

∴

R A/V = 0.624371373307543m⁻¹

LAST Step Rounding Answer

∴

R A/V = 0.6244m⁻¹

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

Variables

Surface to Volume Ratio of Spherical Segment

Surface to Volume Ratio of Spherical Segment is the numerical ratio of the total surface area of Spherical Segment to the volume of the Spherical Segment.

Symbol: R_A/V

Measurement: Reciprocal LengthUnit: m⁻¹