Question

What is the volume of a cone with a diameter of 8.4 meters and a height of 14.6 meters ?

Answer 1

We'll use the formula to obtain the volume of a cone

$V=\frac{1}{3}B\cdot h$

Where B is the area of the base and h is its height.

Since the diameter is 8.4 meters, that means its radius is 4.2 meters. From this we use the formula to obtain the area of a circle

$B=\pi\cdot r^2$$B=\pi\cdot(4.2)^2\approx55.39$

And from here we plug in the values in the formula for the volume

$V=55.39\cdot14.6\cdot\frac{1}{3}=269.56$

And so, the volume of the cone is

$V=269.56m^3$