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