Surface area of a hemisphere — lesson. Mathematics CBSE, Class 9.

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Hemisphere:

A one half of a sphere is called a hemisphere.

Curved surface area:

C. S. A. \(=\) \(\frac{\text{Surface area of a sphere}}{2}\)

\(=\)

\frac{4 π r^{2}}{2}

\(=\)

2 π r^{2}

Curved surface area of a hemisphere \(=\)

2 π r^{2}

sq. units.

Total surface area:

T. S. A. \(=\) Curved surface area of a hemisphere \(+\) Area of the top region

\(=\)

2 π r^{2}

\(+\) \(\pi r^2\)

\(=\) \(3 \pi r^2\)

Total surface area of a hemisphere \(=\) \(3 \pi r^2\) sq. units.

Important!

The properties of a hemisphere are the same as the properties of a sphere.

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2. Surface area of a hemisphere