The diameter of the cylinder = 20 cm
the radius (r) = 10 cm and the curved surface area = 100 cm2
Height = h cm
(i) Curved surface area
\[\begin{array}{*{35}{l}}
=\text{ }2\pi rh \\
2\pi rh\text{ }=\text{ }100\text{ }c{{m}^{2}} \\
2\text{ x }22/7\text{ x }10\text{ x }h\text{ }=\text{ }100 \\
h\text{ }=\text{ }\left( 100\text{ x }7 \right)/\text{ }\left( 22\text{ x }10\text{ x }2 \right)\text{ }=\text{ }35/22 \\
h\text{ }=\text{ }1.6\text{ }cm \\
\end{array}\]
(ii) Volume of the cylinder
\[\begin{array}{*{35}{l}}
=\text{ }\pi {{r}^{2}}h \\
=\text{ }22/7\text{ x }10\text{ x }10\text{ x }1.6 \\
=\text{ }502.9\text{ }c{{m}^{3}} \\
\end{array}\]