# Hemisphere Calculator

Calculate the volume, curved surface area(CSA) and total surface area(TSA) of hemisphere.

## Formula

**TSA of Hemisphere:** [ 3πr² ]

**CSA of Hemisphere:** [ 2πr² ]

**Volume of Hemisphere: ** [ (2/3)πr³ ]

### Hemispherical cylinder volume

The Surface Area of Hemisphere is the area occupied by the surface of the solid object and it is classified into two types as follows:

1. Curved Surface Area (CSA)

2. Total Surface Area (TSA)

**Curved surface area (CSA)**

The Curved Surface Area of Hemisphere is the half part of a sphere, therefore the curved surface area is also half of that sphere.

CSA = 1/2 ( 4 π r^{2}) = 2 π r^{2}

**Area of base **

The Base Area is the base of the hemisphere in circular shape. As we know by the formula of area of circle as follows:

Area of base = π r^{2}

**Total Surface Area (TSA)**

To calculate the Total Surface Area of the hemisphere, we need to consider the base of the hemisphere which is circular. Therefore, it is equal to:

TSA = Curved Surface Area + Area of the Base Circle

**= 2 π r ^{2} + π r^{2}**

**= 3 π r ^{2}**