Math, asked by sunshine909, 2 months ago

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...!!​

Answers

Answered by GaneshRM2006
12

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

Similar questions