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?	Choices.
A) 8 cm B) 10 cm C) 12 cm D) 14 cm E) None
Sol.   Let the radius and the height of the cone be 3x and 4x respectively. Then,   1/3 * ∏ * (3x)² * 4x = 96∏ ⇔ 36x³   = (96 * 3) ⇔ x³ = [96 * 3 / 36= 
<gadget id="calculator">96 * 3 / 36</gadget>
<output>8</output>
8 ⇔ x= 2   &amp;ther4 Radius = 6 cm, Height = 8 cm.   Slant height = √6² + 8 ² cm = √100 cm = 10 cm.   Answer 10 cm
<result>B</result>
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?