To find the height of the oblique cylinder, we can use the formula for the volume of a cylinder, which is given by:
Volume (V) = πr²h
Where:
- V is the volume of the cylinder.
- r is the radius of the base of the cylinder.
- h is the height of the cylinder.
Given that the diameter of the cylinder is 14 units, we can find the radius:
Radius (r) = Diameter / 2 = 14 units / 2 = 7 units.
Now, we can substitute the known values into the volume formula:
1176π = π(7)²h
We can simplify the equation by dividing both sides by π:
1176 = (7)²h
This simplifies to:
1176 = 49h
Next, we solve for h:
h = 1176 / 49
Calculating this gives:
h = 24 units.
Thus, the height of the oblique cylinder is 24 units.