IF the height and slant height of a right circular cone are 8 cm and 10 cm, respectively, then the volume of the cone is (use π = ): (correct to two decimal places)
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 301.71 cm3
If the height and slant height of the cone are 8 cm and 10 cm respectively, then the radius of the cone will be
Radius2 = (Slant Height)2 - Height2
⇒ Radius2 = 102 - 82 = 100 - 64
⇒ Radius2 = 36
⇒ Radius = 6
The Volume = (1/3) × (22/7) × (6)2 × 8
⇒ { 22 × 36 × 8}/{3 × 7} = 2112/7 = 300.71 cm3