Q7 of 32 Page 255

A hemisphere is cut out from one face of a cubical wooden block such that the diameter of the hemisphere is equal to the length of the cube. Determine the surface area of the remaining solid.


Give that, A hemisphere is cut out from one face of a cubical wooden block such that the diameter of the hemisphere is equal to the length of the cube.


Now, let the side of cube be ‘l’


⇒ radius of hemisphere(r)


⇒ surface area of remaining solid = surface area of cube- surface


Area of hemisphere


= 6l2-πr2




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