If the volume of a cone is 9856 cm³ and the diameter of its base is 14 cm, what is the height of the cone?
Show answer & explanation
Correct answer: C
Explanation
Volume = 9856 cm³, diameter = 14 cm
According to the formula:
Volume of cone = (1/3)πr²h
9856 = (1/3) × (22/7) × 7² × h
= (1/3) × (22/7) × 49 × h
= (1/3) × 22 × 7 × h
= (154/3)h
9856 = (154/3)h
h = (9856 × 3) / 154 = 192 cm