Question

a hemisphere depression is cut out from one face of a cubical wooden blocks such that the diameter l of the hemisphere is equal to the edge of the cube. Determine the surface area of the remaining solid



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Answer 1

Ur Answer :-

1²/4 ( 24 + π) sq. unit.

Ur Explaination :-

Consider the diagram shown below.

It is given that a hemisphere of radius 1/2 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

=> 61² - πr² + 2πr ²

=> 61² - π(½)² + 2π (½)²

=> 61² - πl²/4 + πl²/2

=> 1²/4 ( 24 + π) sq. unit.

• hope it helps u...

Answer 2

Answer:

The surface area of the remaining solid if a hemispherical 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 is ¼ l2 (π + 24).