Question

The area of the base of a right circular cylinder is 616 cm² and its height is 25 cm. Find the volume of the cylinder.

 

Answer 1

\[\text{ Let the area of the base of a right circular cylinder be S {cm} }^2 . \]
\[\text{ Given:}  \]
\[S = 616 {cm}^2 \]
\[\text{ Height, h = 25 cm } \]
\[\text{ Let the radius of a right circular cylinder be r cm .}  \]
\[ S = \pi r^2 \]
\[616 = \frac{22}{7} \times r^2 \]
\[ r^2 = \frac{616 \times 7}{22}\]
\[ r^2 = 196\]
\[ r = 14 cm\]
\[\text{ Volume of the cylinder, }  V = \pi r^2 h\]
\[ = \pi \times \left( 14 \right)^2 \times 25\]
\[ = 15400 {\text{ cm } }^3\]