The radius and height of a right circular cone are in the ratio 3 : 4. If its volume is 96∏ cm³, what is its slant height?  Choose the correct choice:  A) 8 cm  B) 10 cm  C) 12 cm  D) 14 cm  E) none

Rationale: sol . let the radius and the height of the cone be 3 x and 4 x respectively . then , 1 / 3 * ∏ * ( 3 x ) ² * 4 x = 96 ∏ ⇔ 36 x ³ = ( 96 * 3 ) ⇔ x ³ = [ 96 * 3 / 36 ] = 8 ⇔ x = 2 & ther 4 ; radius = 6 cm , height = 8 cm . slant height = √ 6 ² + 8 ² cm = √ 100 cm = 10 cm . answer b
Answer: B