Question

The volume of a cone of height 9cm is$1848 {cm}^{3} .$Find radius$take\pi = \frac{22}{7}$

Answer 1

Given the volume of the cone is 1848 cm^3 and the height of the cone is 9 cm.

We have to find the radius of the cone.

We know that the formula of the volume of the cone is given by:

$V=\frac{1}{3}\pi r^2h$

Put h = 9 and pi = 22/7:

$\begin{gathered} V=1848 \\ \frac{1}{3}\pi r^2h=1848 \\ \frac{1}{3}\times\frac{22}{7}\times r^2\times9=1848 \\ r^2=\frac{1848\times21}{22\times9} \\ r^2=196 \\ r=\sqrt[]{196} \\ r=14 \end{gathered}$

Thus, the radius of the cone is 14 cm.