Question

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.​

Answer 1

that's your answer

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Answer 2

Explanation:

diameter of hemisphere = side of cube,

let it denoted by a

Therefore, radius of hemisphere = a/2

Total surface area of hemisphere =

$3\pi \ \: r ^{2}$

=3×22/7×(a/2)×(a/2)

=3×22/7×a^2/4

Total surface of cube=4a^2

Total remaining surface area = Area of cube - Area of hemisphere

=(4a^2)-(66a^2)

=9a^2/7