Surface Area of Hollow Sphere given Surface to Volume Ratio Calculator

✖Surface to Volume Ratio of Hollow Sphere is the numerical ratio of the total surface area of the Hollow Sphere to the volume of the Hollow Sphere.ⓘ Surface to Volume Ratio of Hollow Sphere [R_A/V]			+10% -10%
✖Outer Radius of Hollow Sphere is the distance between center and any point on the circumference of larger sphere of the Hollow Sphere.ⓘ Outer Radius of Hollow Sphere [r_Outer]			+10% -10%
✖Inner Radius of Hollow Sphere is the distance between center and any point on the circumference of smaller sphere of the Hollow Sphere.ⓘ Inner Radius of Hollow Sphere [r_Inner]			+10% -10%

✖Surface Area of Hollow Sphere is the total quantity of two dimensional space enclosed by the spherical surface.ⓘ Surface Area of Hollow Sphere given Surface to Volume Ratio [SA]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Hollow Sphere Formula PDF PDF Image

Surface Area of Hollow Sphere given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Surface Area of Hollow Sphere = 4/3*pi*Surface to Volume Ratio of Hollow Sphere*(Outer Radius of Hollow Sphere^3-Inner Radius of Hollow Sphere^3)
SA = 4/3*pi*R_A/V*(r_Outer^3-r_Inner^3)
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Surface Area of Hollow Sphere - (Measured in Square Meter) - Surface Area of Hollow Sphere is the total quantity of two dimensional space enclosed by the spherical surface.
Surface to Volume Ratio of Hollow Sphere - (Measured in 1 per Meter) - Surface to Volume Ratio of Hollow Sphere is the numerical ratio of the total surface area of the Hollow Sphere to the volume of the Hollow Sphere.
Outer Radius of Hollow Sphere - (Measured in Meter) - Outer Radius of Hollow Sphere is the distance between center and any point on the circumference of larger sphere of the Hollow Sphere.
Inner Radius of Hollow Sphere - (Measured in Meter) - Inner Radius of Hollow Sphere is the distance between center and any point on the circumference of smaller sphere of the Hollow Sphere.

STEP 1: Convert Input(s) to Base Unit

Surface to Volume Ratio of Hollow Sphere: 0.5 1 per Meter --> 0.5 1 per Meter No Conversion Required
Outer Radius of Hollow Sphere: 10 Meter --> 10 Meter No Conversion Required
Inner Radius of Hollow Sphere: 6 Meter --> 6 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

SA = 4/3*pi*R_A/V*(r_Outer^3-r_Inner^3) --> 4/3*pi*0.5*(10^3-6^3)

Evaluating ... ...

SA = 1642.00576027627

STEP 3: Convert Result to Output's Unit

1642.00576027627 Square Meter --> No Conversion Required

FINAL ANSWER

1642.00576027627 ≈ 1642.006 Square Meter <-- Surface Area of Hollow Sphere

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » Hollow Sphere » Surface Area of Hollow Sphere » Surface Area of Hollow Sphere given Surface to Volume Ratio

Credits

Created by Nikhil

Mumbai University (DJSCE), Mumbai

Nikhil has created this Calculator and 400+ more calculators!

Verified by Nayana Phulphagar

Institute of Chartered and Financial Analysts of India National college (ICFAI National College), HUBLI

Nayana Phulphagar has verified this Calculator and 1500+ more calculators!

< Surface Area of Hollow Sphere Calculators

Surface Area of Hollow Sphere given Volume and Inner Radius

LaTeX Go Surface Area of Hollow Sphere = 4*pi*(((3*Volume of Hollow Sphere)/(4*pi)+Inner Radius of Hollow Sphere^3)^(2/3)+Inner Radius of Hollow Sphere^2)

Surface Area of Hollow Sphere given Volume and Outer Radius

LaTeX Go Surface Area of Hollow Sphere = 4*pi*(Outer Radius of Hollow Sphere^2+(Outer Radius of Hollow Sphere^3-(3*Volume of Hollow Sphere)/(4*pi))^(2/3))

Surface Area of Hollow Sphere given Thickness and Inner Radius

LaTeX Go Surface Area of Hollow Sphere = 4*pi*((Inner Radius of Hollow Sphere+Thickness of Hollow Sphere)^2+Inner Radius of Hollow Sphere^2)

Surface Area of Hollow Sphere given Thickness and Outer Radius

LaTeX Go Surface Area of Hollow Sphere = 4*pi*(Outer Radius of Hollow Sphere^2+(Outer Radius of Hollow Sphere-Thickness of Hollow Sphere)^2)

Surface Area of Hollow Sphere given Surface to Volume Ratio Formula

LaTeX Go

Surface Area of Hollow Sphere = 4/3*pi*Surface to Volume Ratio of Hollow Sphere*(Outer Radius of Hollow Sphere^3-Inner Radius of Hollow Sphere^3)
SA = 4/3*pi*R_A/V*(r_Outer^3-r_Inner^3)

What is a Hollow Sphere?

A Hollow Sphere, also known as a spherical shell, is a three-dimensional geometric shape that resembles a sphere but with empty space inside. It is characterized by having a spherical outer surface and an inner void or cavity. The thickness of the shell is uniform throughout, resulting in a hollow interior.

How to Calculate Surface Area of Hollow Sphere given Surface to Volume Ratio?

Surface Area of Hollow Sphere given Surface to Volume Ratio calculator uses Surface Area of Hollow Sphere = 4/3*pi*Surface to Volume Ratio of Hollow Sphere*(Outer Radius of Hollow Sphere^3-Inner Radius of Hollow Sphere^3) to calculate the Surface Area of Hollow Sphere, The Surface Area of Hollow Sphere given Surface to Volume Ratio formula is defined as the total quantity of two dimensional space enclosed by the spherical surfaces of Hollow Sphere, calculated using the surface to volume ratio of Hollow Sphere. Surface Area of Hollow Sphere is denoted by SA symbol.

How to calculate Surface Area of Hollow Sphere given Surface to Volume Ratio using this online calculator? To use this online calculator for Surface Area of Hollow Sphere given Surface to Volume Ratio, enter Surface to Volume Ratio of Hollow Sphere (R_A/V), Outer Radius of Hollow Sphere (r_Outer) & Inner Radius of Hollow Sphere (r_Inner) and hit the calculate button. Here is how the Surface Area of Hollow Sphere given Surface to Volume Ratio calculation can be explained with given input values -> 1642.006 = 4/3*pi*0.5*(10^3-6^3).

FAQ

What is Surface Area of Hollow Sphere given Surface to Volume Ratio?

The Surface Area of Hollow Sphere given Surface to Volume Ratio formula is defined as the total quantity of two dimensional space enclosed by the spherical surfaces of Hollow Sphere, calculated using the surface to volume ratio of Hollow Sphere and is represented as SA = 4/3*pi*R_A/V*(r_Outer^3-r_Inner^3) or Surface Area of Hollow Sphere = 4/3*pi*Surface to Volume Ratio of Hollow Sphere*(Outer Radius of Hollow Sphere^3-Inner Radius of Hollow Sphere^3). Surface to Volume Ratio of Hollow Sphere is the numerical ratio of the total surface area of the Hollow Sphere to the volume of the Hollow Sphere, Outer Radius of Hollow Sphere is the distance between center and any point on the circumference of larger sphere of the Hollow Sphere & Inner Radius of Hollow Sphere is the distance between center and any point on the circumference of smaller sphere of the Hollow Sphere.

How to calculate Surface Area of Hollow Sphere given Surface to Volume Ratio?

The Surface Area of Hollow Sphere given Surface to Volume Ratio formula is defined as the total quantity of two dimensional space enclosed by the spherical surfaces of Hollow Sphere, calculated using the surface to volume ratio of Hollow Sphere is calculated using Surface Area of Hollow Sphere = 4/3*pi*Surface to Volume Ratio of Hollow Sphere*(Outer Radius of Hollow Sphere^3-Inner Radius of Hollow Sphere^3). To calculate Surface Area of Hollow Sphere given Surface to Volume Ratio, you need Surface to Volume Ratio of Hollow Sphere (R_A/V), Outer Radius of Hollow Sphere (r_Outer) & Inner Radius of Hollow Sphere (r_Inner). With our tool, you need to enter the respective value for Surface to Volume Ratio of Hollow Sphere, Outer Radius of Hollow Sphere & Inner Radius of Hollow Sphere 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 Surface Area of Hollow Sphere?

In this formula, Surface Area of Hollow Sphere uses Surface to Volume Ratio of Hollow Sphere, Outer Radius of Hollow Sphere & Inner Radius of Hollow Sphere. We can use 3 other way(s) to calculate the same, which is/are as follows -

Surface Area of Hollow Sphere = 4*pi*(((3*Volume of Hollow Sphere)/(4*pi)+Inner Radius of Hollow Sphere^3)^(2/3)+Inner Radius of Hollow Sphere^2)
Surface Area of Hollow Sphere = 4*pi*(Outer Radius of Hollow Sphere^2+(Outer Radius of Hollow Sphere^3-(3*Volume of Hollow Sphere)/(4*pi))^(2/3))
Surface Area of Hollow Sphere = 4*pi*((Inner Radius of Hollow Sphere+Thickness of Hollow Sphere)^2+Inner Radius of Hollow Sphere^2)

Home

FREE PDFs

🔍 Search