Hemisphere Surface Area
A hemisphere’s surface area is derived from that of a sphere and may be determined using particular methods. For a hemisphere with radius r, the total surface area comprises both the curved and base areas. Since, hemisphere has both plane and curved surfaces hence it has two types of surface areas mentioned below:
- Curved Surface Area of a Hemisphere
- Total Surface Area of a Hemisphere
Curved Surface Area of a Hemisphere
Curved surface area of a hemisphere is based on the surface area of a sphere. We know that surface area pf sphere is given as:
Surface Area of a Sphere = 4πr2
We know that hemisphere is half of sphere therefore, we divide the sphere’s surface area in half to get the curved surface area of the hemisphere.
Curved Surface Area of a Sphere = 4πr2 /2 = 2πr2
where, r is the radius of the hemisphere and the value of π is 22/7 or 3.142
Total Surface Area of a Hemisphere
Total Surface Area of hemisphere consist of curved as well as planar surface area of hemisphere. If we want the total surface area, we must add the base area to the curved surface. The area of the circle base is provided by πr2 and curved surface area is 2πr2
Here is the formula for calculating the surface area of a hemisphere of radius r.
Total Surface Area of a Sphere = 2πr2 + πr2 = 3πr2
where, r is the radius of the hemisphere and the value of π is 22/7 or 3.142.
Hemisphere in Math
Hemisphere is a three-dimensional shape generated by dividing a sphere into two halves. It is a half-spherical curve combined with a planar circular area. Generally, a hemisphere refers to half of the Earth, such as the northern or southern hemispheres.
In geometry, however, a hemisphere is a 3D shape formed by splitting a sphere into two halves, each with one flat side. In everyday life, we come across various items that have the form of a hemisphere. For example, if we cut a cherry in half, we obtain a hemisphere-shaped cherry.
In this article, we’ll study more about hemispheres, their properties, formulas, and others in detail.
Table of Content
- What is Hemisphere?
- Properties of Hemisphere
- Volume of Hemisphere
- Hemisphere Surface Area
- Hollow Hemisphere
- Hemisphere Formulas
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