Question

25. A cubical block of side 7 cm is surmounted
by a hemisphere. What is the greater diameter
the hemisphere can have ? Find
the surface area of the solid.
​

Answer 1

Answer:

The greatest diameter=side of the cube=7cm.

The radius of the hemisphere =3.5cm.

Now,

The Surface Area of Solid=Surface Area of Cube - Surface Area of Base Hemisphere + Curve Surface Area of Hemisphere

Surface Area of Cube

=6×side

2

=6×7×7

=294sq cm

Surface Area of Base of Hemisphere is,

=πr

2

=

7

22

×3.5

2

=38.5cm

2

Curved Surface Area of Hemisphere is,

=2×38.5

=77sq cm

∴ total Surface Area is =294−38.5+77

=332.5sq cm.

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Answer 2

Answer:

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