Question

A hemisphere is cut from a cubical block such that the diameter of hemisphere is equal to side of cube determine the total surface area of remaining solid.

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Answer 1

Step-by-step explanation:

Consider the diagram shown below.

It is given that a hemisphere of radius

2

l

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

=6l

2

−πr

2

+2πr

2

=6l

2

−π(

2

l

)

2

+2π(

2

l

)

2

=6l

2

−

4

πl

2

+

2

πl

2

=

4

l

2

(24+π) sq.units

Answer 2

Answer:

• l²/4 ₓ(24+π)

Step-by-step explanation:

surface area

=area of cube+c.s.a of hemisphere - area of the the base of hemisphere.

area of cube= l³

c.s.a=2π(l/2)²

area of base= π(l/2)²

solving it, we get the above equation