Question : What will be the difference between the total surface area and the curved surface area of a hemisphere having a 4 cm diameter in cm2?
Option 1: $5\pi $
Option 2: $8\pi $
Option 3: $4\pi $
Option 4: $4.4\pi $
Correct Answer: $4\pi $
Solution : The total surface area of a hemisphere = $3\pi r^2$ The curved surface area a hemisphere = $2\pi r^2$ where $r$ is the radius of the hemisphere. Given that the diameter of the hemisphere is 4 cm, the radius $r$ is 2 cm. The total surface area of a hemisphere = $3\pi (2)^2 = 12\pi$ cm 2 The curved surface area a hemisphere = $2\pi (2)^2 = 8\pi$ cm 2 Therefore, the difference between the total surface area and the curved surface area of the hemisphere is: Difference = TSA – CSA = $12\pi - 8\pi = 4\pi$ cm 2 Hence, the correct answer is $4\pi$.
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