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The radius of a pencil is 6 mm and its length is 15 cm. What is the ratio of diameter of the pencil to the length of the pencil?
  • a)
    2 : 25
  • b)
    1 : 25
  • c)
    3 : 25
  • d)
    4 : 25
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The radius of a pencil is 6 mm and its length is 15 cm. What is the ra...
Diameter of the pencil = 6 × 2 = 12 mm
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Most Upvoted Answer
The radius of a pencil is 6 mm and its length is 15 cm. What is the ra...
Given:
Radius of pencil = 6 mm
Length of pencil = 15 cm

To Find: Ratio of diameter of pencil to the length of the pencil.

Solution:
Diameter of pencil = 2 x Radius of pencil = 2 x 6 mm = 12 mm
Length of pencil = 15 cm = 150 mm

Ratio of diameter of pencil to the length of the pencil = Diameter of pencil : Length of pencil
= 12 mm : 150 mm

To simplify the ratio, we can divide both sides by the common factor of 6:
= 2 mm : 25 mm

Therefore, the correct option is (a) 2:25.

Conclusion:
The ratio of diameter of the pencil to the length of the pencil is 2:25. This means that the diameter of the pencil is very small compared to its length.
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