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प्रश्न
The radii of circular ends of frustum of a cone are 20 cm and 12 cm and its height is 6 cm. Find the Slant height of frustum.
बेरीज
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उत्तर
Given: Radii r1 = 20 cm, r2 = 12 cm; height h = 6 cm.
Use `l = sqrt(h^2 + (r_1 - r_2)^2)` for slant height of a frustum.
Step-wise calculation:
1. r1 – r2 = 20 – 12
= 8 cm
2. (r1 – r2)2 = 82
= 64
3. h2 = 62
= 36
4. h2 + (r1 – r2)2
= 36 + 64
= 100
5. `l = sqrt(100)`
= 10 cm
The slant height of the frustum is 10 cm.
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