sphere volume

Why is sphere volume 4 3?
Quickly stated, it comes from the fact that if you took two cones with similar measurements to the sphere, it would end up that the volume of those two cones would equal the volume of the sphere.
Using a bit of mathematical wizardry the 4/3 ends up being derived from this fact.
What is the formula for the total volume of a sphere?
The surface area of a sphere is a = 4 pi r^2, where r is the radius of the sphere.

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.

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The formula for the volume of a sphere is V = 4/3 ? r³, where V = volume and r = radius. The radius of a sphere is half its diameter.

Why is the volume of a sphere 4 3 pi r cubed?

Volume of a sphere = 4/3 ?r³ If you consider a circle and a sphere, both are round.
. The difference between the two shapes is that a circle is a two-dimensional shape and a sphere is a three-dimensional shape which is the reason that we can measure the Volume and area of a Sphere.

Why is the volume of a sphere 4 pi r 2?

One geometric explanation is that 4?r2 is the derivative of 43?r3, the volume of the ball with radius r, with respect to r.
. This is because if you enlarge r a little bit, the volume of the ball will change by its surface times the small enlargement of r. which is indeed 43?r3.

Why is there a 1 3 in the formula for the volume of a cone?

Each cone fills the cylinder to one-third quantity.
. Hence, such three cones will fill the cylinder.
. Thus, the volume of a cone is one-third of the volume of the cylinder.

Why is a sphere 2/3 of a cylinder?

What is the fraction? Multiple Choice: 2/3 because the volume of the cylinder times 2/3 equals the volume of the sphere. 3.
. Multiplying the volume of a cylinder by 2/3 will give you the volume of a sphere with the same radius.

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