Question

A cone-shaped pile of sawdust has a base diameter of 30 feet, and is 10 feet tall. Find the volume of the pile. Round your answer to the nearest tenth if necessary.

Answer 1

The formula for calculating the volume of a cone (pile) is expressed as:

`V=(1)/(3)\pi r^2h`

r is the radius

h is the height of the cone (pile)

Given

Base diameter = 30 feet

radius = diameter/2

radius = 30/2

radius = 15 feet

height = 10feet

Required

Volume of the pile

To get the volume, you will substitute the given data into the formula as shown;

`\begin{gathered} V\text{ = }(1)/(3)\pi(15)^2(10) \\ V\text{ = }(1)/(3)\pi(225)(10) \\ V=(1)/(3)(3.14)(2250) \end{gathered}`

Evaluate the final expression;

`\begin{gathered} V\text{ =}(7065)/(3) \\ V\text{ = }2355ft^3 \end{gathered}`

Hence the volume of the pile is 2355ft^3