Question

what is the approximate volume of the cylinder? use 3.14 for π. 9 cm 4 cm 113.04 cm³ 452.16 cm³ 1,017.36 cm³ 226.08 cm³

Explanation:

Step1: Recall Cylinder Volume Formula

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

Step2: Identify Radius and Height

From the diagram, the radius \( r = 4 \, \text{cm} \) and the height \( h = 9 \, \text{cm} \).

Step3: Substitute Values into Formula

Substitute \( \pi = 3.14 \), \( r = 4 \), and \( h = 9 \) into the formula:
\( V = 3.14 \times (4)^2 \times 9 \)

Step4: Calculate \( r^2 \)

First, calculate \( (4)^2 = 16 \).

Step5: Multiply Step by Step

Now, multiply \( 3.14 \times 16 = 50.24 \), then multiply \( 50.24 \times 9 = 452.16 \).

Answer:

\( 452.16 \, \text{cm}^3 \) (corresponding to the option "452.16 \( \text{cm}^3 \)")