The shape of the hemisphere is the best possible way of facing the situation of solid being cut into two halves. The total surface area of the hemisphere will always be equal to the sum of the curved surface area along with the base area of the hemisphere. The base will be circular over here and people can find out different kinds of real-life examples of the hemisphere. For example planet earth can be divided into two segments which will be the northern and southern hemispheres.
The surface area formula of the hemisphere has been explained as follows:
It will be three into the value of pi into the square of the radius
The surface area of the hemisphere will be occupied area by its basic surface and it can be classified into two basic parts which are explained as:
The curved surface area and the total surface area.
- The current surface area: Whenever the hemisphere will be the half part of the solid then the whole surface area will also be half of that particular area. It has been described as:
1/2 into the value of 4 into the value of pi into radius Square which will come out to be the 2 into the value of pi into the radius Square.
The base area of the hemisphere will be circular in shape and the base area will be calculated as the value of pi into the radius Square.
- The total surface area: This will be the total surface area in which the base of the hemisphere which is circular has to be considered. It can be considered as:
Curved surface area plus the area of the base circle
It will be defined in the form of formulas as 2 into the value of pi into the radius square plus the value of pi into the radius Square which will ultimately come out to be the 3 into the value of pi into the radius Square.
It is very much important for the kids to be clear about the basic concept of the area of the hollow hemisphere as well because the hollow hemisphere will be having two diameters for each of the circular bases one for the inside hollow part and one for the outside rigid part. Hence, the area of the hollow hemisphere will always be equal to the difference between the area of the external hemisphere and the area of the internal hemisphere. In the cases of the formula is it has been perfectly explained as follows:
- The curved surface area of the outer hemisphere will come out to be 2 into the value of pi into the radius of the outer hemisphere Square
- The curved surface area of the inner hemisphere will come out to be 2 into the value of pi into the radius of the inner hemisphere Square
Hence, the total area of the hollow hemisphere will be 2 into the value of pi into the radius of the outer plus radius of the inner square plus the value of pi into the radius of the outer minus radius of the inner hemisphere Square.
The Real-life example of the hemisphere will be the bowl in which people normally eat and the coconut shell along with half-cut watermelon. Hence, being clear about all these kinds of basic aspects is very much important on the behalf of kids so that they end up making the perfect decisions at the time of calculating the volume of sphere. In this way, the kids will never get confused because they will be very much clear about the basic concept through real-life examples and situations. Apart from this, depending upon the platforms like Cuemath is the best way of ensuring that kids have a very good command over the entire process without any kind of hassle and are capable of scoring well in the mathematics exam without any kind of stress element in the whole process.