3 4 Pi R 2
Sphere Shape
r = radius
V = volume
A = surface surface area
C = circumference
π = pi = three.1415926535898
√ = square root
Reckoner Utilize
This online calculator volition calculate the three unknown values of a sphere given whatever i known variable including radius r, area A, book V and circumference C. It will as well requite the answers for volume, surface area and circumference in terms of PI π. A sphere is a ready of points in three dimensional infinite that are located at an equal altitude r (the radius) from a given point (the center point).
Units: Notation that units are shown for convenience but do not affect the calculations. The units are in identify to give an indication of the order of the results such as ft, ft2 or ft3. For example, if you are starting with mm and yous know r in mm, your calculations volition event with A in mm2, V in mmiii and C in mm.
Sphere Formulas in terms of radius r:
- Volume of a sphere:
- 5 = (iv/3)πr3
- Circumference of a sphere:
- C = twoπr
- Surface area of a sphere:
- A = 4πrtwo
Volume of a Sphere
\[ V = \frac{4}{three}\pi r^iii \]
\[ 5 \approx 4.1888r^3 \]
\[ V = \frac{A^{three/ii}}{6\sqrt{\pi}} \]
\[ V \approx 0.09403A^{three/2} \]
\[ V = \frac{C^3}{6\pi^2} \]
\[ 5 \approx 0.01689C^3 \]
Surface area of a Sphere
\[ A = 4 \pi r^ii \]
\[ A \approx 12.5664r^2 \]
\[ A = \pi^{1/iii} (6V)^{2/3} \]
\[ A \approx four.83598V^{ii/3} \]
\[ A = \frac{C^2}{\pi} \]
\[ A \approx 0.3183C^2 \]
Radius of a Sphere
\[ r = \left(\frac{3V}{4 \pi}\right)^{ane/3} \]
\[ r \approx 0.62035V^{1/3} \]
\[ r = \sqrt{\frac{A}{4 \pi}} \]
\[ r \approx 0.2821 \sqrt{A} \]
\[ r = \frac{C}{ii \pi} \]
\[ r \approx 0.1592C \]
Circumference of a Sphere
\[ C = 2 \pi r \]
\[ C \approx 6.2832r \]
\[ C = \pi^{2/3} (6V)^{1/iii} \]
\[ C \approx 3.89778V^{ane/3} \]
\[ C = \sqrt{\pi A} \]
\[ C \approx 1.77245\sqrt{A} \]
Sphere Calculations:
Use the following additional formulas forth with the formulas in a higher place.
- Given the radius of a sphere summate the volume, surface surface area and circumference
Given r discover V, A, C- utilize the formulas to a higher place
- Given the book of a sphere summate the radius, surface area and circumference
Given 5 detect r, A, C- r = cube root(3V / 4π)
- Given the surface area of a sphere summate the radius, book and circumference
Given A find r, V, C- r = √(A / 4π)
- Given the circumference of a sphere calculate the radius, volume and surface area
Given C find r, V, A- r = C / 2π
3 4 Pi R 2,
Source: https://www.calculatorsoup.com/calculators/geometry-solids/sphere.php
Posted by: solercaseas.blogspot.com
0 Response to "3 4 Pi R 2"
Post a Comment