Question

the volume of this cylinder is 2,712.96 cubic yards. what is the height? round your answer to the nearest hundredth. 12 yd h h ≈ yards

Explanation:

Step1: Recall the formula for the volume of a cylinder

The volume formula of a cylinder is \( V=\pi r^{2}h \), where \( V \) is the volume, \( r \) is the radius, and \( h \) is the height.

Step2: Identify the radius

Given the radius \( r = 12\) yd.

Step3: Solve for \( h \)

We can rewrite the formula for \( h \) as \( h=\frac{V}{\pi r^{2}} \). Substitute \( V = 2712.96\) and \( r = 12\) into the formula. First, calculate \( r^{2}=12^{2}=144 \). Then, \( \pi r^{2}=3.14\times144 = 452.16 \). Now, \( h=\frac{2712.96}{452.16} \).

Answer:

\( h = 6.00\) yards