Question

a conical water tank has a radius of 4.5 meters and a height of 15 meters. how much water can the tank hold? use 3.14 for π. do not round off any value during the computation. round your final answer to the nearest tenth. use the keypad to type your answer in the box provided. the amount of water the tank can hold is cubic meters.

Explanation:

Step1: Recall the formula for the volume of a cone

The volume \(V\) of a cone is given by \(V=\frac{1}{3}\pi r^{2}h\), where \(r\) is the radius and \(h\) is the height.

Step2: Substitute the given values into the formula

Given \(r = 4.5\) meters, \(h=15\) meters, and \(\pi = 3.14\).
First, calculate \(r^{2}\): \(r^{2}=(4.5)^{2}=20.25\).
Then, substitute into the formula: \(V=\frac{1}{3}\times3.14\times20.25\times15\).

Step3: Perform the multiplication

\(\frac{1}{3}\times15 = 5\).
So, \(V=3.14\times20.25\times5\).
\(3.14\times20.25 = 63.585\).
Then \(V=63.585\times5=317.925\).

Answer:

\(317.9\)