A spherical shaped sweet is placed inside a cube of side 5 cm such that the sweet just fits the cube. A fly is sitting on one of the vertices of the cube. What is the shortest distance the fly must travel to reach the sweet?
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Answer:
2.5 cm
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Distance = (Diagonalofcube–Diameterofsphere)2
= (5√3−5)2 (Since diagonal of the cube is given as √3 x l)
= 5(√3−1)2
= 2.5(√3 – 1)
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