Question

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

Answer 1

Answer:

332.5sq cm

Step-by-step explanation:

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

Step-by-step explanation:

The diameter of the hemisphere would be equal to the side length of the cube.

Surface area = C.S.A of hemisphere + C.S.A of cube , put the values and solve to some extent you will get the answer