The formula of volume of cylinder is
[tex] Volume = \pi *r^2 * h [/tex]
And in the given question , diameter is 6inches. And radius is half of diameter, so radius = 3 inches .
Given volume is
[tex] Volume = 271.4 [/tex]
So we have
[tex] 271.4 = \pi * 3^2 *h [/tex]
[tex] 271.4 = 9 \pi h [/tex]
Dividing both sides by 9 pi
[tex] h = \frac{271.4}{9 \pi} = 9.6 in [/tex]
