Question

Question 6 (i)
The volume of a right circular cone is $9856c{m}^3$. If the diameter of the base is 28 cm, find:
(i) height of the cone.
$[Assume\pi =\frac{22}{7}]$

Answer 1

(i) Radius of the cone $=\left(\frac{28}{2}\right)cm=14cm$
Let the height of the cone be h.
Volume of the cone $=9856c{m}^3$
$\Rightarrow \frac{1}{3}\pi r^{2}h=9856c{m}^3\Rightarrow [\frac{1}{3}\times \frac{22}{7}\times (14{)}^2\times h]c{m}^3=9856c{m}^{3}h=48cm$
Therefore, the height of the cone is 48 cm.