If a cylinder has a radius of 3 cm and a height of 5 cm, what is its volume in cubic centimeters?

To calculate the volume of a cylinder, you use the formula:

[ V = \pi r^2 h ]

where ( V ) is the volume, ( r ) is the radius, and ( h ) is the height. In this scenario, the radius is 3 cm, and the height is 5 cm.

1. First, calculate the area of the base (which is a circle):

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

2. Then, multiply by the height to find the volume:

[ V = \pi (9 \text{ cm}^2)(5 \text{ cm}) = 45\pi \text{ cm}^3 ]

3. Using the value of (\pi \approx 3.14):

[ V \approx 45 \times 3.14 = 141.3 \text{ cm}^3 ]

Therefore, the volume of the cylinder is approximately 141.37 cm³. This calculation confirms that the choice of 141.37 cm³ is indeed correct, as