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. 337.5 cm³ 706.9 cm³ 1,413.7 cm³ 1,059.8 cm³

Explanation:

Step1: Recall the formula for the volume of a cylinder

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

Step2: Substitute the given values into the formula

Given \(r = 1.5\) cm and \(h=150\) cm. Then \(V=\pi\times(1.5)^{2}\times150\).
First, calculate \((1.5)^{2}=2.25\).
So \(V=\pi\times2.25\times150\).
\(2.25\times150 = 337.5\).
Then \(V = 337.5\pi\).
Using \(\pi\approx3.14159\), we have \(V\approx337.5\times3.14159\).
\(337.5\times3.14159 = 1059.75\approx1059.8\) (rounded to the nearest tenth).

Answer:

\(1,059.8\ \text{cm}^3\)