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The formula for the volume of a sphere is V = 4/3 π r³, where V = volume and r = radius. The radius of a sphere is half its diameter. So, to calculate the surface area of a sphere given the diameter of the sphere, you can first calculate the radius, then the volume. Created by Sal Khan and Monterey Institute for Technology and Education.
Volume of a sphere formula. The volume of a sphere is 4/3 x π x (diameter / 2)3, where (diameter / 2) is the radius of the sphere (d = 2 x r), so another way to write it is 4/3 x π x radius3. Visual on the figure below:
To calculate the volume of a sphere, use the formula: V=\cfrac {4} {3} \; \pi r^3 V = 34 πr3. Notice the cube of the radius \mathrm (r^3) (r3) in the volume formula. Volume is a measure in three-dimensions so the units for the volume are cubic units.
Aug 3, 2023 · V = π 3 ( 4 r 3) ∴ The final dimensional formula of volume of a sphere is: Volume ( V ) = 4 3 π r 3. 2. Using Volume of a Cylinder and Cone. As explained by Archimedes, a cylinder, cone, and sphere with a radius ‘r’, and equal cross-sectional area, have their volumes in the ratio of 1:2:3.
4 days ago · The volume of a sphere can be found with the following equations: With given radius: V = 4/3 × π × r³, With given diameter: V = 1/6 × π × d³, With given area: V = √(A³ / (36 × π)). Try our equation of a sphere calculator to learn how to calculate the volume of a sphere from its equation. Sphere calc: find A.
nA = 4πr 2. Substituting this into the approximate volume formula, we can find the volume of a sphere in terms of π: Example: What is the diameter of a sphere that has a volume of 288π? 216 = r 3. r = 6. Since the diameter of a sphere is twice the length of its radius, the diameter of the sphere is 12. Volume of a hemisphere.
As with any solid object, the volume of a sphere is a measure of the space it occupies. Formula for Volume of a Sphere. For a sphere with a radius \hspace {0.2em} r \hspace {0.2em} r, the volume is given by. V = \frac {4} {3} \pi r^3 V = 34πr3. Skip to examples. Derivation of the Formula.
