A cubical block of side 7 cm is surmounted by a hemisphere. what is the greatest diameter the hemisphere can have? Find the surface area of the solid. Also make the diagram
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A cubical block of side 7 cm is surmounted by a hemisphere. what is the greatest diameter the hemisphere can have? Find the surface area of the solid. Also make the diagram
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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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Given:- A cubical block of side 7 cm is surmounted by a hemisphere. what is the greatest diameter the hemisphere can have? Find the surface area of the solid.
Solution:- we have,
Side of cubical block = 7 cm.
Then,
radius of hemisphere
Then,
Total surface area of the solid=Total surface area of cube-Area of base of hemisphere +curved surface area of hemisphere.
⭐TSA = 6 × 7² - π × ( 3•5 )² + 2π ( 3•5 )²
⭐TSA = 332•465 cm².
Hence, ⬆️ Your Answer.