Question

find the volume of this cone. use 3.14 for π. volume of a cone v = 1/3 πr²h v = □ m³ round your answer to the nearest tenth.

Explanation:

Step1: Find the base area

The base of a cone is a circle. The formula for the area of a circle is \(A=\pi r^{2}\). Given \(r = 3m\) and \(\pi=3.14\), then \(A = 3.14\times3^{2}=3.14\times9 = 28.26m^{2}\).

Step2: Calculate the volume of the cone

The formula for the volume of a cone is \(V=\frac{1}{3}Ah\), where \(A\) is the base - area and \(h\) is the height. Here \(A = 28.26m^{2}\) and \(h = 9m\). So \(V=\frac{1}{3}\times28.26\times9\). First, \(\frac{1}{3}\times9 = 3\), then \(V=28.26\times3=84.78m^{3}\approx84.8m^{3}\) (rounded to the nearest tenth).

Answer:

\(84.8\)