Question

The radius and height of a cylinder are in the ratio 5 : 7 and its volume is 550 cm${}^3$. Find its radius.

Answer 1

Let the radius of the base and height of the cylinder be 5x cm and 7x cm respectively. Then,

Volume = $550$ $c{m}^3$

$\frac{22}{7}\times (5x{)}^2\times 7x=550$

$22\times 25x^3=550$

$x=1$ $cm$

Hence, radius of the cylinder = 5x = 5 cm.