Volume of a Cylinder is given by : π × (radius)² × (height)
Given : Radius of the Base = 1.4 cm
Given : Volume of the Cylinder = 36.96 cm³
Substituting the respective values in the Formula, We get :
[tex]\mathsf{\implies \pi \times (1.4)^2 \times Height = 36.96}[/tex]
[tex]\mathsf{\implies \frac{22}{7} \times (1.4)^2 \times Height = 36.96}[/tex]
[tex]\mathsf{\implies 22 \times (0.2) \times (1.4) \times Height = 36.96}[/tex]
[tex]\mathsf{\implies (6.16) \times Height = 36.96}[/tex]
[tex]\mathsf{\implies Height = \frac{36.96}{6.16}}[/tex]
[tex]\mathsf{\implies Height = 6\;cm}[/tex]