Question

The ratio between the radius of the base and the height of a cylinder is 2 : 3. If the volume of the cylinder is 12936 $c{m}^3$, find the radius of the base of the cylinder.

Answer 1

Let radius and base be 2x and 3x
volume=πr²h= $\frac{22}{7}\times 4x²\times 3x$=12936
$\frac{22}{7}\times 12x³$=12936
x³=$\frac{12936\times 7}{22\times 4\times 3}$
x³= 343
x =7
Radius =2x=2$\times 7$=14 cm
Height=3x=3$\times 7$=21 cm