Question

The circumference of the base of a cylinder is 88 cm and its height is 15 cm. Find the volume of the cylinder.

 

Answer 1

\[\text { Let r cm be the radius of a cylinder } . \]
\[\text{ Circumference of the cylinder, } S = 2\pi r\]
\[\text{ Given: } \]
\[\text{ Height, h = 15 cm } \]
\[ \text{ Circumference, S = 88 cm } \]
\[ S = 2\pi r\]
\[88 = 2 \times \frac{22}{7} \times r\]
\[ r = \frac{88 \times 7}{44}\]
\[ r = 14 cm\]
\[\text{ Volume of cylinder, V }  = \pi r^2 h\]
\[ = \frac{22}{7} \times {14}^2 \times 15\]
\[ = 9240 {\text{ cm } }^3\]