Question

find the volume of this cone. use 3.14 for π. volume of a cone v = 1/3 bh = 1/3 πr²h v = ? cm³ round your answer to the nearest tenth.

Explanation:

Step1: Substitute the values into the formula

The formula for the volume of a cone is \(V=\frac{1}{3}\pi r^{2}h\). Here, \(r = 3\) cm and \(h=6\) cm, and \(\pi = 3.14\).
Substitute these values into the formula: \(V=\frac{1}{3}\times3.14\times3^{2}\times6\).

Step2: Calculate \(3^{2}\)

First, calculate \(3^{2}=3\times3 = 9\).
The formula becomes \(V=\frac{1}{3}\times3.14\times9\times6\).

Step3: Simplify \(\frac{1}{3}\times9\)

\(\frac{1}{3}\times9 = 3\).
Now the formula is \(V=3.14\times3\times6\).

Step4: Calculate \(3\times6\)

\(3\times6 = 18\).
So \(V=3.14\times18\).

Step5: Multiply

\(3.14\times18=(3 + 0.14)\times18=3\times18+0.14\times18=54+2.52 = 56.52\).

Answer:

\(56.5\)