SURFACE AREAS AND VOLUMES (10Th Grade)

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

the hemispherical shape is scooped out from one side of the cube, so the total surface area (SA) should include: five surface of cube + one remained side of cube subtracted the circle (r=L/2) + SA of semisphere inner curved.

Or, SA of the remaining solid = cubic SA+ semisphere SA-circle area

= 6L^ 2 + 1/2 * 4π(L/2)^2 - π(L/2)^2

= 6L^2 + (π L^2)/2 - (πL^2)/4

= 6L^2 +πL^2 /4

6L²+ πL²/4

SURFACE AREAS AND VOLUMES (10Th Grade) Question A hemispherical depression is cut out from one face of a cubical wooden block such that the diameter L of the hemisphere is equal to the edge of the cube. Determine the surface area of the remaining solid

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SURFACE AREAS AND VOLUMES (10Th Grade)

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