Learn how to calculate the curved and total surface area of a hemisphere using formulas and examples. A hemisphere is half of a sphere and has a circular base. Understand the area of a hemisphere with clear definitions, step-by-step formulas, and solved examples. Learn how to calculate curved and total surface area easily at Testbook! Learn the surface area of a hemisphere —curved and total —with stepwise formulas, clear examples, and smart tips for faster calculations. Perfect for board exams and quick revision. For a solid hemisphere of radius r, we have. The formula for the curved surface area of hemisphere , CSA hemisphere = 2πr2. We know that the base of the hemisphere is circular in shape, we have. The formula for the total surface area of hemisphere , TSA hemisphere = 2πr2 + πr2 = 3πr2.