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प्रश्न
In the following questions, two statements (i) and (ii) are given. Choose the valid statement.
- The length of the longest pole that can be put in a room of dimensions 6 m × 8 m × 10 m is 12 m.
- Perimeter of a semi-circle of radius r is (π + 2)r.
विकल्प
Only (i)
Only (ii)
Both (i) and (ii)
Neither (i) nor (ii)
MCQ
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उत्तर
Only (ii)
Explanation:
(i) False: The longest pole fits along the space diagonal of the cuboid:
Length = `sqrt(6^2 + 8^2 + 10^2)`
= `sqrt(200)`
= `10sqrt(2)`
= 14.14 m, which is greater than 12 m.
(ii) True: The perimeter of a semicircle
= Curved part (πr) + Diameter (2r)
= (π + 2)r
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