The total surface area of sphere is 4πr^2 and total surface area of hemisphere is 3πr^2. Why it is 3πr^2 instead of 2πr^2? Explain. With a Short Answer...!!
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Answer:
TSA of sphere = 4πr²
TSA of hemisphere = surface area of curved part + surface area of a circle
we know that the total surface area of a sphere is 4πr²
to find the surface area of a hemisphere
a hemisphere has a curved part and a circular base
the surface area of the curved part is half the surface area of the sphere
i.e, 1/2×4πr²
=2πr²
to find the total surface area we need to add the area of the circular part to the area of the curved part
the radius of the circular part will be equal to the radius of the sphere
area of the circular part is πr²
hence total surface area of a hemisphere will be
area of circular part + area of the curved part
= πr² + 2πr²
=3πr²
hope you understand
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