To find the height of the oblique cylinder, we can use the formula for the volume of a cylinder:
Volume (V) = πr²h
Where:
- V = volume of the cylinder
- r = radius of the base of the cylinder
- h = height of the cylinder
Given:
- Diameter of the cylinder = 14 units
- Volume = 1176π cubic units
First, we need to find the radius (r) of the cylinder:
r = diameter / 2 = 14 units / 2 = 7 units
Next, we can substitute the values into the volume formula:
1176π = π(7)²h
Now, we simplify the formula:
1176π = π(49)h
Dividing both sides of the equation by π gives:
1176 = 49h
To find the height (h), we divide both sides by 49:
h = 1176 / 49
Calculating the right-hand side:
h = 24
Therefore, the height of the oblique cylinder is 24 units.