Question

Tobias is constructing pylons to prevent cars from driving on a bike path. How much concrete, in cubic feet, will Tobias need for each pylon? Express your answer in terms of π and round your answer to the nearest hundredth of a cubic foot.
Height= 2ft
Radius= 1ft
(It's a cone)

Answer 1

Answer: $\frac{2}{3}\pi \ ft^3$

Step-by-step explanation:

Since you indicate that it is a cone, you need to use the formula for calculate the volume of a cone. This is:

$A_{cone}=\frac{1}{3}\pi r^2h$

Where "r" is the radius and "h" is the height of the cone.

According to the information  given in the exercise, the height and the radius of the pylons are the following:

$r=1\ ft\\\\h=2\ ft$

Then, knowing these values, you can substitute them into the formula,as following:

$A_{cone}=\frac{1}{3}\pi (1\ ft)^2(2\ ft)$

Finally, evaluating, you get that the volume of concrete that Tobias will need for each pylon is the one shown below:

$A_{cone}=\frac{1}{3}\pi (2\ ft^3)\\\\A_{cone}=\frac{2}{3}\pi \ ft^3$