Given that the curved surface area of a cylinder is 704 cm^2.
We have to find the height of the cylinder when the radius is 8 cm.
We know that the formula of the curved surface area of the cylinder is given by:
[tex]A=2\pi rh[/tex]Put r = 8 and pi = 22/7 in the formula:
[tex]\begin{gathered} A=704 \\ 2\pi rh=704 \\ 2\times\frac{22}{7}\times8\times h=704 \\ h=\frac{704\times7}{2\times22\times8} \\ h=14 \end{gathered}[/tex]Thus, the height of the cylinder is 14 cm.
