Ontario Mathematics Proficiency Practice Test

To find the volume of a cylinder, you can use the formula:

\[ V = \pi r^2 h \]

where \( V \) is the volume, \( r \) is the radius, and \( h \) is the height.

In this case, the radius \( r \) is 3 cm and the height \( h \) is 5 cm. First, calculate the area of the circular base:

\[ r^2 = 3^2 = 9 \text{ cm}^2 \]

Next, multiply the area of the base by the height:

\[ V = \pi \times 9 \text{ cm}^2 \times 5 \text{ cm} \]

\[ V = \pi \times 45 \text{ cm}^3 \]

Using an approximation of \( \pi \) as 3.14:

\[ V \approx 3.14 \times 45 \]

Calculating this gives:

\[ V \approx 141.3 \text{ cm}^3 \]

Therefore, the correct answer, representing the volume of the cylinder, is consistent with the calculated result.