The volume of a right circular cone is 100π cm 3 and its height is 12 cm. Find its slant height.?

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