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A hemisphere is cut out from one faceof a cubical wooden block such that thediameter of the hemisphere is equal tothe side of the cube. Determine the to-tal surface area of the remaining solid. |
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Answer» Answer Open in answr app Consider the DIAGRAM shown below. It is given that a HEMISPHERE of radius 2 l
is cut out from the top face of the cuboidal WOODEN block. Therefore, surface AREA of the remaining solid = surface area of the cuboidal box whose each edge is of length l − Area of the top of the HEMISPHERICAL part + curved surface area of the hemispherical part =6l 2 −πr 2 +2πr 2
=6l 2 −π( 2 l
) 2 +2π( 2 l
) 2
=6l 2 − 4 πl 2
+ 2 πl 2
= 4 l 2
(24+π) sq.units
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