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For a cone of base radius 5 cm and vertical height 10 cm, the slant height is:
A√50 cm
B√125 cm
C15 cm
D50 cm
Answer & Solution
Correct answer: B. √125 cm
1. The slant l, vertical height h, and base radius r form a right triangle.
2. By Pythagoras, l² = h² + r².
3. l² = 10² + 5² = 100 + 25 = 125.
4. So l = √125 cm, equivalently 5√5 cm.
5. So the slant height is √125 cm.
_Source: SCERT Kerala Std X Mathematics Part-2, Chapter 7-8 (pp 180-199, 2019 ed.)._
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