Circumference Of A Sphere Equation
Sphere Shape
r = radius
Five = volume
A = surface surface area
C = circumference
π = pi = 3.1415926535898
√ = square root
Calculator Apply
This online figurer will calculate the three unknown values of a sphere given any 1 known variable including radius r, surface area A, volume V and circumference C. It will as well give the answers for volume, surface expanse and circumference in terms of PI π. A sphere is a set up of points in three dimensional space that are located at an equal distance r (the radius) from a given point (the center bespeak).
Units: Note that units are shown for convenience but do not impact the calculations. The units are in place to give an indication of the society of the results such equally ft, ft2 or ftiii. For example, if you are starting with mm and you know r in mm, your calculations will result with A in mmii, Five in mm3 and C in mm.
Sphere Formulas in terms of radius r:
- Volume of a sphere:
- V = (4/3)πr3
- Circumference of a sphere:
- C = twoπr
- Surface area of a sphere:
- A = 4πr2
Volume of a Sphere
\[ V = \frac{4}{iii}\pi r^iii \]
\[ 5 \approx iv.1888r^3 \]
\[ V = \frac{A^{iii/2}}{6\sqrt{\pi}} \]
\[ V \approx 0.09403A^{3/2} \]
\[ Five = \frac{C^3}{6\pi^2} \]
\[ V \approx 0.01689C^3 \]
Area of a Sphere
\[ A = 4 \pi r^2 \]
\[ A \approx 12.5664r^two \]
\[ A = \pi^{1/three} (6V)^{two/three} \]
\[ A \approx 4.83598V^{2/three} \]
\[ A = \frac{C^2}{\pi} \]
\[ A \approx 0.3183C^2 \]
Radius of a Sphere
\[ r = \left(\frac{3V}{4 \pi}\right)^{1/3} \]
\[ r \approx 0.62035V^{one/three} \]
\[ r = \sqrt{\frac{A}{4 \pi}} \]
\[ r \approx 0.2821 \sqrt{A} \]
\[ r = \frac{C}{2 \pi} \]
\[ r \approx 0.1592C \]
Circumference of a Sphere
\[ C = ii \pi r \]
\[ C \approx 6.2832r \]
\[ C = \pi^{two/iii} (6V)^{one/3} \]
\[ C \approx 3.89778V^{ane/3} \]
\[ C = \sqrt{\pi A} \]
\[ C \approx 1.77245\sqrt{A} \]
Sphere Calculations:
Use the following additional formulas along with the formulas above.
- Given the radius of a sphere calculate the book, surface area and circumference
Given r observe 5, A, C- use the formulas in a higher place
- Given the volume of a sphere calculate the radius, surface area and circumference
Given Five find r, A, C- r = cube root(3V / 4π)
- Given the surface area of a sphere summate the radius, volume and circumference
Given A find r, V, C- r = √(A / fourπ)
- Given the circumference of a sphere calculate the radius, volume and surface expanse
Given C find r, Five, A- r = C / twoπ
Circumference Of A Sphere Equation,
Source: https://www.calculatorsoup.com/calculators/geometry-solids/sphere.php
Posted by: jostviong1977.blogspot.com
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