A spherical shaped sweet is placed inside a cube of side 5 cm such that the…
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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?
Answer: D. 2.5(√3 – 1) cm — Distance = (Diagonal of cube – Diameter of sphere) / 2 = (5√3 – 5) / 2 (Since diagonal of the cube is given as √3×l) = 5(√3 – 1) / 2 = 2.5(√3 – 1) The…
- A.
2.5 cm
- B.
5(√3 – 1) cm
- C.
5(√2 – 1) cm
- D.
2.5(√3 – 1) cm
Attempted by 7 students.
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Correct answer: D
Distance = (Diagonal of cube – Diameter of sphere) / 2
= (5√3 – 5) / 2 (Since diagonal of the cube is given as √3×l)
= 5(√3 – 1) / 2
= 2.5(√3 – 1)
The question is "What is the shortest distance the fly must travel to reach the sweet?"
Hence, the answer is 2.5(√3 – 1) cm
Choice D is the correct answer.