Question

find the volume of the cone. round your answer to the nearest tenth.
the volume of the cone is about □ cubic feet

Explanation:

Step1: Recall the volume formula for a cone

The volume formula for a cone is \( V=\frac{1}{3}\pi r^{2}h \), where \( r \) is the radius and \( h \) is the height.

Step2: Identify the values of \( r \) and \( h \)

From the problem, \( r = 1\) ft and \( h=2\) ft.

Step3: Substitute the values into the formula

Substitute \( r = 1\) and \( h = 2\) into \( V=\frac{1}{3}\pi r^{2}h\).

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Step4: Calculate the numerical value

Using \( \pi\approx3.14\), we have \( V=\frac{2\times3.14}{3}=\frac{6.28}{3}\approx2.1\)

Answer:

\(2.1\)