Question

the diameter of cylinder is 2.5 inches, and the height is 7.5 inches. which equation can be used to find v, the volume of the cylinder in cubic inches?\\(\bigcirc\\ v = \pi(2.5)^2(7.5)\\)\\(\bigcirc\\ v = \pi(7.5)^2(2.5)\\)\\(\bigcirc\\ v = \pi(1.25)^2(7.5)\\)\\(\bigcirc\\ v = \pi(3.75)^2(2.5)\\)

Explanation:

Step1: Find radius from diameter

The radius $r$ is half the diameter. Given diameter $d=2.5$ inches, so:
$r = \frac{2.5}{2} = 1.25$ inches

Step2: Recall cylinder volume formula

The volume $V$ of a cylinder is $V = \pi r^2 h$, where $h$ is height.

Step3: Substitute values into formula

Substitute $r=1.25$ and $h=7.5$:
$V = \pi(1.25)^2(7.5)$

Answer:

$V = \pi(1.25)^2(7.5)$