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A hemisphere depression is cut out …

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A hemisphere 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

    • Posted by Virendra Singh 3 years, 7 months ago

    CBSE > Class 10 > Mathematics
    • 3 answers

    Vamsi Koyya 3 years, 7 months ago

    Surface area of remaining solid=csa of cube +csa of hemisphere

    0Thank You

    Ananya Tiwari 3 years, 7 months ago

    Draw the diagram als

    0Thank You

    Ananya Tiwari 3 years, 7 months ago

    It is given that a hemisphere of radius 2l​ 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 =6l2−πr2+2πr2 =6l2−π(2l​)2+2π(2l​)2 =6l2−4πl2​+2πl2​ =4l2​(24+π) sq.units

    2Thank You

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