Question

The curved surface area of a cylindrical road is 132 cm². Find its length if the radius is 0.35 cm.

 

Answer 1

\[\text{ Consider h to be the height of the cylindrical rod } . \]
\[\text{ Given:}  \]
\[\text{ Radius, r = 0 . 35 cm } \]
\[\text{ Curved surface area } = 132 {cm}^2 \]
\[\text{ We know: } \]
\[\text{ Curved surface area } = 2 \times \pi \times r \times h\]
\[ 132 = 2 \times \frac{22}{7} \times 0 . 35 \times h\]
\[ h = \frac{132 \times 7}{2 \times 22 \times 0 . 35}\]
\[ h = 60\]
\[ \text{  Therefore, the length of the cylindrical rod is 60 cm } .\]