A: The formula for the curved surface area of a hemisphere is 2πr², where “r” is the radius of the hemisphere and “π” is the mathematical constant pi, approximately equal to 3.14159. The surface area of a hemisphere is defined as the area covered by the outer surface of a hemisphere. Learn the formulas, steps, examples, and more. Learn how to calculate the curved surface area and the total surface area of a hemisphere using the formula 2πr2 and 3πr2 respectively. See examples with solutions for different radii and diameters of hemispheres. Curved surface area of a hemisphere refers to the area of the outer dome minus the base. The formula for CSA is: Curved Surface Area = 2πr2. The total surface area of a hemisphere covers the curved surface and the flat base. The formula for TSA is: Total Surface Area = 3πr2.