Question

a righ circular cylinder of a volume 36.96 cm3 and the radius length of its base is 1.4 cm then find its height (pie = 22 over 7). help pls

Answer 1

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 :

$\mathsf{\implies \pi \times (1.4)^2 \times Height = 36.96}$

$\mathsf{\implies \frac{22}{7} \times (1.4)^2 \times Height = 36.96}$

$\mathsf{\implies 22 \times (0.2) \times (1.4) \times Height = 36.96}$

$\mathsf{\implies (6.16) \times Height = 36.96}$

$\mathsf{\implies Height = \frac{36.96}{6.16}}$

$\mathsf{\implies Height = 6\;cm}$