Question

In a cylindrical vessel $30800{cm}^3$ water can be filled. If the internal radius of vessel is $14cm$. Find it curved surface area.

Answer 1

GivenThe internal radius of vessel $r=14cm$
Volume of the vessel $30800{cm}^3$
Let the height of the vessel be h.
$\therefore \pi r^{2}h=30800{cm}^3$
$\begin{array}{c}\Rightarrow \frac{22}{7}\times 14\times 14\times h=30800\\ \Rightarrow h=\frac{30800\times 7}{14\times 14\times 22}\end{array}$
$=50cm$
$\therefore$ The internal surface area of cylindrical vessel
$\begin{array}{c}\begin{array}{cc}2\pi rh& =2\times \frac{22}{7}\times 14\times 50\\ & =4400{cm}^2\end{array}\end{array}$
Hence the internal curved surface area of cylindrical vessel $=4400{cm}^2$