Question

what is the volume of the shape below? enter your answers as a decimal. use 3.14 for π. 8 in 3 in

Explanation:

Step1: Recall the formula for the volume of a cone.

The volume \( V \) of a cone is given by the formula \( V=\frac{1}{3}\pi r^{2}h \), 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 \( r = 3 \) inches and the height \( h=8 \) inches. We are given that \( \pi = 3.14 \).

Step3: Substitute the values into the formula.

First, calculate \( r^{2} \): \( r^{2}=3^{2} = 9 \).
Then, calculate \( \pi r^{2}h \): \( 3.14\times9\times8=3.14\times72 = 226.08 \).
Finally, calculate \( \frac{1}{3}\) of that value: \( V=\frac{1}{3}\times226.08 = 75.36 \).

Answer:

\( 75.36 \) cubic inches