Question

1. a cylinder has a height of 14 yards and a radius of 18 yards. what is its volume? round your answer to the nearest hundredth. ____ cubic yards

Explanation:

Step1: Recall cylinder volume formula

The volume $V$ of a cylinder is given by $V = \pi r^2 h$, where $r$ is the radius and $h$ is the height.

Step2: Plug in given values

Substitute $r = 18$ yards and $h = 14$ yards into the formula:
$V = \pi \times (18)^2 \times 14$

Step3: Calculate the squared radius

$(18)^2 = 324$, so:
$V = \pi \times 324 \times 14$

Step4: Multiply constants first

$324 \times 14 = 4536$, so:
$V = 4536\pi$

Step5: Compute decimal value and round

$4536\pi \approx 4536 \times 3.14159265 \approx 14249.03$

Answer:

14249.03 cubic yards