the total surface area of a solid hemisphere of radius 7 cm is
The total surface area of a solid hemisphere of radius 7 cm is
Answer: The total surface area of a solid hemisphere can be calculated by summing the curved surface area of the hemisphere and the area of its base (the flat circular part).
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Curved Surface Area: The curved surface area of a hemisphere is half the surface area of a full sphere. The formula for the curved surface area of a hemisphere is 2\pi r^2, where r is the radius of the hemisphere. In this case, with a radius of 7 cm, the curved surface area of the hemisphere is 2\pi \times 7^2 = 98\pi \,cm^2.
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Base Area: The base of the hemisphere is a circle with a radius equal to the radius of the hemisphere. The formula for the area of a circle is \pi r^2. With a radius of 7 cm, the area of the base is \pi \times 7^2 = 49\pi \,cm^2.
Therefore, the total surface area of the solid hemisphere of radius 7 cm is the sum of the curved surface area and the base area, which is 98\pi + 49\pi = 147\pi \,cm^2.