Question

once you complete all these preparations, you scan the room and notice tangled cords everywhere. some stretch across the floor, creating a tripping hazard, and some are visible to viewers, which doesnt appear great. cord organizers are available for purchase, so you consider getting a few to keep your space tidy. these organizers are cylindrical, with a radius of 1.5 cm and a height of 150 cm. whats the volume of one of these cord organizers?

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: Substitute given values

Given $r = 1.5$ cm, $h = 150$ cm. Substitute into the formula:
$$V = \pi \times (1.5)^2 \times 150$$

Step3: Calculate the squared radius

$$(1.5)^2 = 2.25$$

Step4: Compute the product

$$V = \pi \times 2.25 \times 150 = 337.5\pi$$
For a numerical approximation, use $\pi \approx 3.1416$:
$$V \approx 337.5 \times 3.1416 = 1059.75$$

Answer:

The volume of one cord organizer is $337.5\pi$ cubic centimeters (or approximately 1059.75 cubic centimeters).