Question

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

Explanation:

Step1: Find the radius

The diameter $d = 14$ units, so the radius $r=\frac{d}{2}=\frac{14}{2}=7$ units.

Step2: Use the volume formula

The volume formula for a cylinder is $V=\pi r^{2}h$. We know $V = 1176\pi$ and $r = 7$. Substitute these values into the formula: $1176\pi=\pi\times7^{2}\times h$.

Step3: Solve for $h$ (height $x$)

First, simplify the right - hand side: $\pi\times7^{2}\times h=\pi\times49\times h$. Then, divide both sides of the equation $1176\pi=\pi\times49\times h$ by $49\pi$. $\frac{1176\pi}{49\pi}=h$. The $\pi$ terms cancel out, and $\frac{1176}{49}=24$. So $h = 24$ units.

Answer:

24 units