4. 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.
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Answer:
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Step-by-step explanation:
We have,
Side of cubical block
=
7cm.
Then radius of hemisphere
=
2
7
cm=
3.5cm.
Then,
Total surface area of the solid=Total surface area of cube-Area of base of hemisphere +curved surface area of hemisphere.
⇒ TSA= 6×
7 2
π×
(3.5) 2
2π
(3.5)
2
⇒ TSA= 332.465cm
2
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