Question

a silo is a building shaped like a cylinder used to store grain. the diameter of a particular silo is 6.5 meters, and the height of the silo is 12 meters.
options:

• $v = \pi(6.5)^2(12)$
• $v = \pi(3.25)^2(12)$
• $v = \pi(6)^2(6.5)$
• $v = \pi(12)^2(3.25)$

Explanation:

Step1: Find cylinder radius

The radius $r$ is half the diameter: $r = \frac{6.5}{2} = 3.25$ meters.

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 $r=3.25$ and $h=12$: $V = \pi(3.25)^2(12)$

Answer:

$V = \pi(3.25)^2(12)$