Question

An oblique cylinder has a diameter of 14 units. The volume of the cylinder is 1,176π cubic units.

Answer 1

Volume = πr^2h
1176π = π(14/2)^2x
1176 = 49x
x = 1176/49 = 24 units

Answer 2

we know that

volume of the cylinder =$\pi *r^{2} *h$

in this problem

$diameter=14 units\\\\ r=\frac{14}{2} \\\\ r=7 units$

Volume=$1,176\pi$units³

solve for h

$h=V/(\pi *r^{2} )\\ h=1,176\pi /(\pi *7^{2} )\\ h=24 units$

therefore

the answer is

the height of the cylinder is $24 units$