Question

the volume of a pipe is 1,250 cubic meters. find the radius of the pipe if it is 10 meters long. use 3.14 for π. round your answer to the nearest tenth. use the keypad to type your answer in the box provided. the radius of the pipe is meters.

Explanation:

Step1: Recall the volume formula for a cylinder

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

Step2: Substitute the given values into the formula

We know that \(V = 1250\) cubic meters, \(h=10\) meters, and \(\pi = 3.14\). Substituting these into \(V=\pi r^{2}h\) gives \(1250=3.14\times r^{2}\times10\).

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

First, simplify the right - hand side: \(3.14\times10 = 31.4\). So the equation becomes \(1250 = 31.4r^{2}\). Then, solve for \(r^{2}\) by dividing both sides by \(31.4\): \(r^{2}=\frac{1250}{31.4}\approx39.81\).

Step4: Solve for \(r\)

Take the square root of both sides: \(r=\sqrt{39.81}\approx 6.3\).

Answer:

\(6.3\)