Question

what is the volume of this cone? use π ≈ 3.14 and round your answer to the nearest hundredth. 2 cm (height), 1 cm (radius) image of cone, blank cubic centimeters, submit.

Explanation:

Step1: Recall the formula for the volume of a cone

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

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

From the diagram, the radius \( r = 1\space\text{cm} \) and the height \( h=2\space\text{cm} \), and \( \pi\approx3.14 \).

Step3: Substitute the values into the formula

Substitute \( r = 1 \), \( h = 2 \) and \( \pi\approx3.14 \) into the formula:
\[

$$\begin{align*} V&=\frac{1}{3}\times3.14\times(1)^{2}\times2\\ &=\frac{1}{3}\times3.14\times1\times2\\ &=\frac{6.28}{3}\\ &\approx2.09 \end{align*}$$

\]

Answer:

\( 2.09 \)