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The volume of a right circular cone is 100π cm3 and its height is 12 cm. Find its slant height. ?
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- 13 cm
- 16 cm
- 9 cm
- 26 cm
Correct Option: A
Volume = (1/3)πr2h
According to the question,
(1/3)πr2h = 100π
⇒ (1/3)πr2 x 12 = 100π
⇒ r2 = 25
∴ r = √25 = 5 cm
∴ Slant height (l) = √h2 + r2
= √122 + 52
= √169 = 13 cm