TSA of sphere is 4 pi R^2 but TEA of hemisphere is 3pi R^2 instead of 2pi R ^2 .how?

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Feb 6, 2018

Answer:

Please see below.

Explanation:

Total surface area of sphere is #4pir^2#.

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We can divide it into two hemispheres, with each part having curved surface area #(4pir^2)/2=2pir^2#

However in a hemisphere, we additionally have flat portion with area #pir^2# and hence total surface area of hemisphere is #3pir^2#.

enter image source here

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