The volume of a right circular cone is 9856 cm3. if the diameter of the base if 28 cm, find
height of the cone.
The correct option is A): 48 cm
We know,
Volume of a cone =13πr2h.
Given, diameter of the base d=28 cm.
Then, Radius of the base (r)=d2=28 cm2=14 cm.
Hence, volume of this cone =13πr2h
⇒13×227×(14)2×h=9856 cm3
⇒13×227×14×14×h=9856 cm3
⇒h=114×114×31×722×9856 cm3
⇒h=3×16 cm
⇒h=48 cm
Therefore, height of the cone is 48 cm.
Hence, Option A is correct.