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Question No: 2
If a sphere fits exactly inside a cube of side 6 cm, then find the ratio of length of the longest rod that can
be fitted in the cube to nie length of the longest rod that can be fitted in the sphere.
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Answer:
The longest rod that can fit inside the sphere is on the diameter and longest rod inside the cube is along the diagonal.
The longest rod that can fit inside the sphere is on the diameter and longest rod inside the cube is along the diagonal.Ratio of length of rods = length of rod inside cube
The longest rod that can fit inside the sphere is on the diameter and longest rod inside the cube is along the diagonal.Ratio of length of rods = length of rod inside cubelength of rod inside the sphere
The longest rod that can fit inside the sphere is on the diameter and longest rod inside the cube is along the diagonal.Ratio of length of rods = length of rod inside cubelength of rod inside the sphere$$\begin{lgathered}= \frac{6 \sqrt{3} }{6} \\ = \frac{ \sqrt{3} }{1}\end{lgathered}$$
The longest rod that can fit inside the sphere is on the diameter and longest rod inside the cube is along the diagonal.Ratio of length of rods = length of rod inside cubelength of rod inside the sphere$$\begin{lgathered}= \frac{6 \sqrt{3} }{6} \\ = \frac{ \sqrt{3} }{1}\end{lgathered}$$= √ 3:1
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