Question

Curved surface area of a right circular cylinder is $4.4{\mathrm{m}}^2$. If the radius of the base of the cylinder is $0.7\mathrm{m}$, find it's height.

Answer 1

Step 1: Given information.

The curved surface area of a right circular cylinder $=4.4{\mathrm{m}}^2$

The radius of the base of the cylinder$=0.7\mathrm{m}$

Step 2: Find the height of the cylinder.

The curved surface area of a right circular cylinder of radius $r$ and height $h$ is given by,

$\begin{array}{rcl}C& =& 2\mathrm{\pi }rh\\ & \Rightarrow & 4.4=2\times \frac{22}{7}\times 0.7\times h\\ & \Rightarrow & h=\frac{4.4\times 7}{2\times 22\times 0.7}\\ \therefore h& =& 1\mathrm{m}\end{array}$

Thus, the height of the right circular cylinder is $1\mathrm{m}$.