Question

an oblique cylinder has a diameter of 14 units. the volume of the cylinder is 1,176π cubic units. what is x, the height of the cylinder? 21 units 24 units 25 units 28 units

Explanation:

Step1: Calculate the radius

The diameter \(d = 14\) units. The radius \(r=\frac{d}{2}=\frac{14}{2}=7\) units.

Step2: Use the volume formula for a cylinder

The volume formula for a cylinder (oblique or right - circular, since \(V = \pi r^{2}h\) holds for both) is \(V=\pi r^{2}h\). We know \(V = 1176\pi\) and \(r = 7\). Substitute into the formula:

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Divide both sides by \(49\pi\):

$$h=\frac{1176\pi}{49\pi}$$

$$h = 24$$

Answer:

24 units