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  • Two identical solid hemispheres of equal base radius r cm are stuck together along their bases. The total surface area of the combination is 6πr^2.

Write ‘True’ or ‘False’ and justify your answer in the following: 

Two identical solid hemispheres of equal base radius r cm are stuck together along their bases. The total surface area of the combination is 6 \pi r^2.

Answers (1)

It is given that there is two hemispheres of radius r.

            Let A and B are two hemispheres of radius r.

            

            Join A and B along with their bases

            

            Now it is a full sphere of radius r

            The total surface area of a sphere =4 \pi r^{2}

            Here we found that the total surface area of the combination is 4 \pi r^{2} , but not 6 \pi r^{2}

           

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infoexpert21

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