A cynical block of side 7 cm is surmounted by a hemisphere what is the greater diameter the hemisphere can have ? Find the surface

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1. The greatest diameter=side of the cube=7cm.

   The radius of the hemisphere =3.5cm.

   Now,

   The Surface Area of Solid=Surface Area of Cube – Surface Area of Base Hemisphere + Curve Surface Area of Hemisphere

   Surface Area of Cube

   =6×side²

   =6×7×7

   =294sq cm

   Surface Area of Base of Hemisphere is,

   =πr²

   = 22/7 × 3.5²

   =38.5cm²

   Curved Surface Area of Hemisphere is,

   =2×38.5

   =77sq cm

   ∴ total Surface Area is =294−38.5+77

   =332.5sq cm.

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