In the mathematical geometry as we know that Sphere is a three dimensional surface in which every point on the given surface is equidistance from a point. In the geometry the formula is also given for finding the volume of a sphere. The formula for volume is:
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??????? Volume =?4??r3, Where ?r? represents radius of a sphere.
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In our day to day life we can find different types of spheres which are as follows,
Solid sphere, hollow sphere, and hemi sphere. Hemi sphere is also two types which are solid hemi sphere and hollow hemi sphere. One thing is also see that the volume of a sphere is exactly two thirds of the volume of its circumscribed cylinder, which is also known as smallest cylinder that can contain the sphere. If we want to find the radius of a sphere then the formula is given for finding the radius of a sphere
?????????? r =?3?3v, where ?v? represents the volume of a sphere.
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As we know that the value of ??? is 3.14.
By using diameter we can also find the volume of a sphere, the Volume of Sphere is given by:
???????? Volume =?4???(d/2)3,?
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In the geometry, Sphere is an object in the three dimensional space. Shape of a sphere is just like as a round ball and the maximum distance through the sphere is said to be diameter of the sphere. Diameter is always twice the radius of the sphere.
As we discuss above that a sphere is a three dimensional object that has shape like a round object and point situated on sphere is at fix distance from the center of a sphere because it is having shape like round ball.
Let?s discuss see some properties of a sphere which are as:
1. It is entirely symmetrical object.
2. No vertices and edges are there in a sphere.
3. In geometry the shape is not just like a polyhedron.
Let?s see the lateral surface area of sphere.
Lateral surface area of a sphere is the sum of the surface areas of all its faces; also include the base of the solid.
In the geometry the formula for lateral surface area is given by:
Lateral surface area of sphere = 4 * ?* r2;
Where, ?r? denotes the radius of a sphere.
Let?s see how to find the lateral surface area of a sphere.
To find the lateral surface area of a sphere we need to follow some of the steps. The steps are as follows:
Step1: To find the lateral surface area first we have to find the value of radius.
?Step2: If we have radius of a sphere then we can easily find the lateral surface area of a sphere by putting the radius value in the formula.
Suppose radius of a sphere is 14 inch and we have to find the lateral surface area of a sphere.
To find the LSA of a sphere we have to follow the above steps:
Step 1: First we find the value of radius.
Here the radius of sphere is 14 inch.
Value of ?is 3.14,
We know that the formula for LSA is:
Lateral surface area of sphere = 4 * ?* r2;
LSA = 4 * 3.14 * (14)2;
LSA = 4 * 3.14 * 196;
LSA = 2461.76 inch2;
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