Find the total surface area of a solid hemisphere of radius
Step 1: Defining a hemisphere
A hemisphere is a three-dimensional form created by cutting a sphere along a plane that passes through its center. A hemisphere, in other terms, is half of a sphere. It is possible for the hemisphere to be hollow or solid. A hemisphere’s surface area is measured in square units.
A solid body surface area is the area of all of the surfaces together and is usually measured in squared units.
Step 2: Calculate the total surface area of a hollow hemisphere
Let be the radius of the hemisphere.
We know that the total surface are of a sphere with radius is
A hollow hemisphere is half of a sphere. Thus its total surface area will be,
Step 3: Calculate the total surface area of a solid hemisphere
If you have a solid hemisphere, then it will have a base that is a circle of radius
The area of a circle of radius, is
The total surface area of the solid hemispheretotal surface area of hollow hemispherearea of the base circle
Thus, the total surface area of the solid hemisphere
Hence the total surface area of the hollow hemisphere is and that of a solid hemisphere is .