A cubical block of side 7 cm is surmonted by a hemisphere. What is the greatest diameter the hemisphere can have? Find the surface area of the solid.
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let us assme it is sphere
because the hemisphere has the same radius as sphere if we take with same radius
and it is exactly surmounted by sphere so the diagonal of cube will be the diameter of sphere or hemisphere
diagonal of cube=root 3 into a
=7root3
therefore the diameter of hemisphere is 7
because the hemisphere has the same radius as sphere if we take with same radius
and it is exactly surmounted by sphere so the diagonal of cube will be the diameter of sphere or hemisphere
diagonal of cube=root 3 into a
=7root3
therefore the diameter of hemisphere is 7
Swarnim2004:
The ans is 7 not 7√3
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1
Answer:
If the cubical block is of side 7 cm then the hemispherical largest diameter will be 7cm.
Surface Area=Curved surface Area of hemisphere+ Curved Surface Area of cube - Area of the base
Surface Area=2πr^2 - πr^2+6a^2
Surface Area= πr^2+ 6a^2
Surface Area=3.14×7/2×7/2+6×7×7
Surface Area=38.465+ 294
Surface Area=332.46cm^2or(332.5cm^2)
Hope it helps you.
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