Question

The volume of a right circular cone is $9856c{m}^3$. If the diameter of the base is $28cm$. find
height of the cone.

Answer 1

$\begin{array}{c}Volumeofcone=9856\\ \Rightarrow \frac{1}{3}\pi r^{2}h=9856\\ \Rightarrow \frac{1}{3}\times \frac{22}{7}\times {\left(\frac{28}{2}\right)}^2\times h=9856\\ \Rightarrow h=\frac{9856\times 3\times 7}{22\times 14\times 14}\\ \Rightarrow h=48cm\end{array}$