Question

The volume of a cone of height 9cm is
`1848 {cm}^(3) .`Find radius
`take\pi = (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=(1)/(3)\pi r^2h`

Put h = 9 and pi = 22/7:

`\begin{gathered} V=1848 \\ (1)/(3)\pi r^2h=1848 \\ (1)/(3)*(22)/(7)* r^2*9=1848 \\ r^2=(1848*21)/(22*9) \\ r^2=196 \\ r=\sqrt[]{196} \\ r=14 \end{gathered}`

Thus, the radius of the cone is 14 cm.