Question

what is the approximate volume of the cylinder? use 3.14 for π. 452.16 cm³, 1,017.36 cm³, 226.08 cm³, 113.04 cm³

Explanation:

Step1: Recall the formula for the volume of a cylinder

The volume \( V \) of a cylinder is given by the formula \( V=\pi r^{2}h \), where \( r \) is the radius of the base and \( h \) is the height of the cylinder.

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

From the diagram, the radius \( r = 4\space\text{cm}\) and the height \( h=9\space\text{cm}\). We are given that \( \pi = 3.14 \).

Step3: Substitute the values into the formula

First, calculate \( r^{2} \): \( r^{2}=4^{2}=16 \).
Then, calculate \( \pi r^{2} \): \( 3.14\times16 = 50.24 \).
Finally, calculate the volume \( V=\pi r^{2}h=50.24\times9 \).
\( 50.24\times9 = 452.16 \space\text{cm}^3 \)

Answer:

\( 452.16 \space\text{cm}^3 \)