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Volume of Sphere Formula
- Added: May, 05th 2012
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Volume of Sphere Formula
by: vistateam123, 4 pagesA sphere is a rounded geometrical object in 3 – D like the shape of a round ball. A circle is a two dimensional object while a sphere is completely symmetrical around its center having all ...
Volume of a Sphere Formula
by: tutorvistateam, 4 pagesA sphere is a rounded geometrical object in 3 – D like the shape of a round ball. A circle is a two dimensional object while a sphere is completely symmetrical around its center having all ...
Volume of Sphere Formula
by: ramsingh11, 7 pagesVolume of a Sphere is a measurement of the occupied units of a Sphere. The volume of a Sphere is represented by cubic units like cubic centimeter, cubic millimeter and so on. Volume of a Sphere is ...
Formula for the Volume of a Sphere
by: ramsingh11, 5 pagesolume of a Sphere is a measurement of the occupied units of a Sphere. The volume of a Sphere is represented by cubic units like cubic centimeter, cubic millimeter and so on. Volume of a Sphere is the ...
Formula For Volume of A Sphere
by: tutorvistateam_team, 4 pagesMathematics is a very wide area in which we calculate volumes for various geometries shapes, these shapes have definite shape and size the shapes are cube, cone, sphere, cylinder. But here we have to ...
How to Find the Volume of a Sphere
by: tutorvistateam_team, 4 pagesWe can find volume of sphere by a simple formula, but first of all we need to learn about the sphere. Sphere is comparable to a circle. As we know that circle can be represented in two dimensions we ...
How to Find the Volume of a Sphere
by: tutorvistateam_team, 4 pagesWe can find volume of sphere by a simple formula, but first of all we need to learn about the sphere. Sphere is comparable to a circle. As we know that circle can be represented in two dimensions we ...
Volume of a Sphere Formula
by: ramsingh11, 7 pagesVolume of a Sphere is a measurement of the occupied units of a Sphere. The volume of a Sphere is represented by cubic units like cubic centimeter, cubic millimeter and so on. Volume of a Sphere is ...
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by: tutorvistateam, 4 pagesIn this unit we are going to learn about “Diameter of a Circle”. We will first learn about what a circle is. To understand it more clearly, if we look at the real life examples from our ...
Volume of Sphere Formula
Volume of a Sphere is a measurement of the occupied units of a Sphere. The volume of a
Sphere is represented by cubic units like cubic centimeter, cubic millimeter and so on. Volume
of a Sphere is the number of units used to fill a Sphere.
Generally the volume of a solid is calculated as the area of the base times its height as long
the area is constant throughout the height of the solid. But this concept can not be directly
applied to find the volume of a sphere because the area changes with every cross section of
the sphere.
In the above diagram, let r be the radius of the sphere. Since the over all dimensions of both
the sphere and the cylinder are the same, the height of the cylinder is 2r.
Under this condition,
Volume of a cylinder = Area of the base x Height of the cylinder.
= r2 x 2r
= 2r3
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Therefore, as per Archimedes formula the volume of the sphere is,
( )( 2r3) = ( )r3
So much happy about this result by himself, Archimedes wished a cylinder and globe be
placed on his tomb! (This wish was fulfil ed)
Given below are some examples to find the volume of a sphere
Example 1:
The sphere has a radius of 8.2 cm. Solve for volume of sphere.
Solution:
Given:
Radius (r) = 8.2 cm
Formula:
Volume of the sphere (v) = 43 r3 cubic unit
= 43 x x (8.2)3
=43 x 3.14 x 551.368
Volume of the sphere (v) = 2308.39 cm3
Example 2: The sphere has radius of 8.3 m. Solve for volume of sphere.
Solution:
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Given:
Radius (r) = 8.3 m
Formula:
Volume of the sphere (v) = 43 r3 cubic unit
= 43 x x (8.3)3
=43 x 3.14 x 571.78
Volume of the sphere (v) = 2393.88 m3
1. The sphere has radius of 5.8m. Find the volume of sphere.
Answer:
Volume (V) = 817.28 m3
2. The sphere has radius of 6.9 cm. Find the surface area and volume of sphere.
Answer:
Volume (V) = 1376.05 cm3
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ThankYou
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