Question

the volume of a cylinder is 1269 pi cm^3 and its height is 16 cmthe length of the cylinders radius is ___ cm

Answer 1

The volume of cylinder is.

$V=1296\pi$

The height of cylinder is h = 16.

The formula for the volume of the cylinder is,

$V=\pi(r)^2h$

Determine the length of radius of cylinder.

$\begin{gathered} 1296\pi=\pi(r)^216 \\ r^2=\frac{1296\pi}{16\pi} \\ =81 \\ r=\sqrt[]{81} \\ =9 \end{gathered}$

So length of cylinder radius is 9 cm.