Surface Area of a Hemisphere
What is a hemisphere?
A hemisphere is a three-dimensional shape that is half of a sphere. It has a curved surface and a flat base.
What units are used to measure the surface area of a hemisphere?
The surface area of a hemisphere can be measured in square units, such as square centimeters (cm²) or square meters (m²).
What is the curved surface area of a hemisphere?
The curved surface area of hemisphere is another name for the lateral surface area of hemisphere and the formula for curved surface area of a hemisphere is 2πr2.
What is the area of the base of a hemisphere?
The base area of hemisphere has circular shape and therefore, the area of circle will be used to find the base area of hemisphere. Hence, base area becomes πr2.
What is the formula for the total surface area of a hemisphere?
The formula for the total surface area of a hemisphere is 3πr2, where r is the radius of the hemisphere.
How to find the surface area of a hemisphere?
The formula for total surface area of a hemisphere when the given radius is “r” is 3πr2. Below are the steps provided to find curved surface area of a hemisphere:
- Note down the radius of the hemisphere.
- Put the “r” value in the formula for total surface area of sphere, that is, TSA = 3πr2.
- Present the final answer in square units.
Explain the difference between the curved surface area of a hemisphere and the surface area of a hemisphere.
The curved surface area of hemisphere is only the area covered by the curved surface and the formula for curved surface area of hemisphere is 2πr2. While the surface area of a hemisphere is the sum of the curved surface area and the base area of hemisphere, therefore, the formula for TSA becomes 3πr2.
What is the surface area of a hemispherical shell?
Yes, the formula for the surface area of a hemisphere can be used for any size of hemisphere, as long as the radius is known.
How does the surface area of a hemisphere compare to the surface area of a sphere?
The surface area of a hemisphere is half of the surface area of a full sphere with the same radius.
Surface Area of a Hemisphere
A hemisphere is a 3D shape that is half of a sphere’s volume and surface area. The surface area of a hemisphere comprises both the curved region and the base area combined.
- Hemisphere’s Total Surface Area (TSA) = Curved Surface Area + Base Area = 3πr² square units.
- Curved Surface Area (CSA) = 2πr² square units.
In this article, we will learn in detail about the calculation of volume and surface areas of a hemisphere, its derivation, and some solved examples.
Table of Content
- What is a Hemisphere?
- What is Surface Area of a Hemisphere?
- Curved Surface Area of Hemisphere Formula
- Total Surface Area of a Hemisphere Formula
- Surface Area of a Hollow Hemisphere Formula
- How to Find Surface Area of a Hemisphere?
- Summary of Surface Area of Hemisphere