Question

Please help me with this question.

A pile of gravel, in the approximate shape of a cone, has a diameter of 30ft and a height of 6ft.

Estimate the volume of the gravel to the nearest tenth.

Answer 1

1413

Explanation:

Note that the formula for finding the volume of a cone is
`v = \pi r^(2) (h)/(3)`, where v = volume, r = radius, and h = height.

The first thing we need to do here is find the radius. The radius is half of the diameter, which is 30. So, r = 15

We have the height, which is 6, and now the radius, which is 15. So, we can now plug these two values into our formula for
`v = \pi*15^2 * (6)/(3)`.

For the sake of simplicity, substitute pi for 3.14 and solve.

To solve, use PEMDAS as it applies to the expression. Exponents first (
`15^(2)`=225), then multiply (3.14*225=706.5) and (706.5*6=4239), and finally, divide (4239/3=1413).

The answer exactly is 1413.72, when you use a calculator and pi instead of 3.14. With 3.14 instead of pi, it is simply 1413.