Hollow Hemisphere
A hollow hemisphere has two surfaces: an interior and exterior surface. As a result, a hollow hemisphere will have two separate radii, namely inner radii and outer radii. The thickness of a hollow hemisphere is defined as the difference between the radii of the inner and outer radii of a hollow hemisphere. A hollow hemisphere’s area may be divided into two categories:
- Curved Surface Area of hollow hemisphere
- Total surface Area of hollow hemisphere
- Volume of hollow hemisphere
Curved Surface Area of Hollow Hemisphere
A hollow cylinder has two surfaces: an inner surface and an outer surface. It also has two radii, r for the inner hemisphere and R for the outer hemisphere.
Inner hemisphere curved surface area: 2πr12
Outer hemisphere curved surface area: 2πr22
Hollow Hemisphere Curved Surface Area: 2πR2 + 2πr2 = 2π(R2+ r2)
Total Surface Area of Hollow Hemisphere
A hollow hemisphere’s total surface area is the sum of the base of the circular ring and the curved surface areas of the inner and outer surfaces.
Total Surface Area of Hollow Hemisphere = Area of Circular Ring + Curved Surface Area of Hollow Hemisphere = 2π(R2+ r2) + π(R2 – r2)
Volume of Hollow Hemisphere
The volume of a hollow hemisphere is calculated by subtracting the volume of the smaller hemisphere (carved out) from the volume of the bigger hemisphere. To calculate the volume of a hollow hemisphere with outer radius R and inner radius r, use the following formula:
Volume of Hollow hemisphere = 2/3π(R3 – r3)
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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