Question

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
706.9 cm³
1,059.8 cm³
337.5 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 \(r = 1.5\space cm\) and \(h=150\space cm\), we substitute these into the formula:
\(V=\pi\times(1.5)^{2}\times150\)
First, calculate \((1.5)^{2}=2.25\). Then \(V=\pi\times2.25\times150\).
\(2.25\times150 = 337.5\). So \(V = 337.5\pi\).
Using \(\pi\approx3.14159\), we get \(V\approx337.5\times3.14159\).
\(337.5\times3.14159=1059.759375\)

Answer:

\(1,059.8\space cm^{3}\) (rounded to the nearest tenth)