A hemispherical depression is cut out from one face of a cubieal wooden block such
that the diameter of the hemisphere is equal to the edge of the cube. Determine the
surface area of the remaining solid.
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Answer: r²(π+24)
Step-by-step explanation:
Let 'a' be the side of cube, 'r' be the radius of the hemisphere.
TSA left = TSA of cube - Area of circle cut off from one side + CSA of hemisphere
= 6a²-πr²+2πr²
= 6a²+ πr²
Since radius of hemisphere is half the side of cube, a=2r
TSA left = 6(2r)²+πr²
=24r²+πr² or r²(π+24)
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