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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 are two hemispheres of radius r.

            Let A and B be 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}

           

Posted by

infoexpert21

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