Hemisphere in very general studies will be referring to the half of earth for example northern Hemisphere or the Southern Hemisphere. But in the cases of mathematics, this will be known as the 3-D figure which will be made from cutting a sphere into two halves which will be having one flat side. In real life, there are several kinds of objects of the shape of Hemisphere for example a half cherry, grapefruit and several other kinds of related things.
The word Hemisphere can be directly linked with the shape of a circular bowl in the home and it can be easily formed by cutting down the sphere into two parts. Hence, it can be considered as the exact half of the sphere. Following are some of the basic properties of the hemisphere:
- Hemisphere will always be having a curved surface area
- In the world of mathematics, Hemisphere will not have any kind of edge or vertices which will further make sure that there will be no chance of any kind of corners in this particular shape
- This is not polyhedral because they are made up of polygons and this has only one circular base along with one curved surface.
- The diameter of the Hemisphere is the line segment that will be passing through the centre and will be touching two opposite points on the base of the hemisphere.
- The radius of the Hemisphere will be the line segment from the centre to the point on the surface of the Hemisphere and it has to be used in the calculation of surface area of hemisphere.
- The great circle of the sphere will help in forming the base of the Hemisphere which will be the flat side and it can be easily created whenever the plane will be intersecting the centre of the sphere cutting it into two halves.
Following are the basic difference between the concept of Hemisphere as well as a sphere:
- Hemisphere is considered to be the 3-D figure that has been perfectly obtained by cutting the sphere into half and on the other hand, the sphere is a 3D round figure which can be used in the world of mathematics very easily.
- Hemisphere is known as the shape which has one flat side and one curved surface but on the other hand, the sphere will not have any kind of flat side but will only be good.
- The volume of the Hemisphere will be 2/3 value of pi into the cube of radius and all the other hand volume of the sphere will be 4/3 value of pi into the cube of the radius.
- Hemisphere will be having two surface areas which will be the total surface area and the lateral surface area. The formula for the total surface area will be three into the value of pi into square of the radius and on the other hand, the lateral surface area of the hemisphere will be two into the value of pi into radius Square. On the other hand in the cases of the sphere, the surface area formula will be four into the value of pi into the square of the radius.
Hence, having a good command over the basic implementation of the formulas in this particular field is very much important for people so that there is no chance of any kind of mistake and further be clear about the formula volume of Hemisphere is very much important so that everybody will be able to indulge into right kind of decision making throughout the process. In this particular case, it is also vital for kids to be clear about the basic implementation of the value of pi which will be 3.142 approximately so that there is no doubt at any point in time. Further, depending upon platforms like Cuemath is the best decision which people can make to have a good command over mathematics.
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