Question

eva is training to scuba dive in a deep indoor pool. the pool is shaped like a cylinder with a diameter of 6 meters and holds 1,170 cubic meters of water. how deep is the pool?
round your answer to the nearest hundredth.
meters

Explanation:

Step1: Find the radius

The diameter \(d = 6\) meters. The radius \(r=\frac{d}{2}=\frac{6}{2}=3\) meters.

Step2: Use the cylinder volume formula

The volume formula for a cylinder is \(V=\pi r^{2}h\), where \(V = 1170\) cubic meters, \(r = 3\) meters. We need to solve for \(h\).
Substitute the values into the formula: \(1170=\pi\times(3)^{2}\times h\).
First, calculate \((3)^{2}=9\). So the equation becomes \(1170 = 9\pi h\).
Then, solve for \(h\): \(h=\frac{1170}{9\pi}\).
Since \(\pi\approx3.14159\), \(h=\frac{1170}{9\times3.14159}\).
Calculate \(9\times3.14159 = 28.27431\).
Then \(h=\frac{1170}{28.27431}\approx41.38\).

Answer:

\(41.38\)