Question

the volume of the cylindrical drum is 1,800 cubic feet and its height is 12 feet. determine the radius of the drum. use 3.14 for π. round your answer to the nearest tenth at the end of the calculation. use the keypad to type your answer in the box provided. the radius of the drum is feet.

Explanation:

Step1: Write the formula for the volume of a cylinder

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

Step2: Substitute the given values into the formula

We know that \(V = 1800\) cubic feet, \(h=12\) feet, and \(\pi = 3.14\). Substituting these values into the formula \(V=\pi r^{2}h\), we get \(1800=3.14\times r^{2}\times12\).

Step3: Solve for \(r^{2}\)

First, simplify the right - hand side of the equation: \(3.14\times12 = 37.68\). So the equation becomes \(1800 = 37.68r^{2}\). Then, solve for \(r^{2}\) by dividing both sides of the equation by \(37.68\): \(r^{2}=\frac{1800}{37.68}\approx47.77\).

Step4: Solve for \(r\)

Take the square root of both sides to find \(r\). \(r=\sqrt{47.77}\approx6.9\)

Answer:

\(6.9\)