#### 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 $6 \pi r^2$.

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 $6 \pi r^{2}$