Question

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.​

Answer 1

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)

Pls mark me as the brainliest :)