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? round your answer to the nearest tenth. 1,413.7 cm³ 1,059.8 cm³ 337.5 cm³ 706.9 cm³

Explanation:

Step1: Recall volume formula for cylinder

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

Step2: Substitute given values

Given $r = 1.5$ cm and $h=150$ cm. Substitute into the formula: $V=\pi\times(1.5)^{2}\times150$.

Step3: Calculate the value

First, $(1.5)^{2}=2.25$. Then $V=\pi\times2.25\times150 = 337.5\pi$. Using $\pi\approx3.14159$, $V\approx337.5\times3.14159 = 1059.75525\approx1059.8$ $cm^{3}$.

Answer:

$1,059.8$ $cm^{3}$