The formula to calculate the surface area of a hemisphere is:
\[ SA = 2\pi r^2 + \pi r^2 = 3\pi r^2 \]
Where:
The surface area of a hemisphere refers to the total area that the surface of a hemisphere covers. A hemisphere is half of a sphere, cut along the diameter, so it includes both the curved part and the flat circular base. The formula to calculate the surface area of a hemisphere is 3πr², where r is the radius of the hemisphere. This formula is derived from the formula for the surface area of a sphere, which is 4πr², but since a hemisphere is half of a sphere, we take half of that formula and add the area of the base (πr²), resulting in 3πr². This measurement is typically used in mathematical and scientific contexts, particularly in geometry and physics.
Let's assume the following value:
Step 1: Calculate the square of the radius:
\[ 5^2 = 25 \]
Step 2: Multiply the result by 3π:
\[ 3\pi \times 25 \approx 3 \times 3.14159 \times 25 = 235.62 \]
The Surface Area (SA) is approximately 235.62 square units.
