How do you find the volume of a cylinder with radius 3 cm and height 5 cm?

To find the volume of a cylinder, use the formula V = πr²h.

The volume of a cylinder is calculated using the formula V = πr²h, where V represents the volume, r is the radius of the base, and h is the height of the cylinder. In this case, the radius (r) is 3 cm and the height (h) is 5 cm.

First, square the radius: \( r^2 = 3^2 = 9 \). This means you multiply the radius by itself. Next, multiply this result by the height: \( 9 \times 5 = 45 \). Finally, multiply by π (pi), which is approximately 3.14159. So, the volume V is \( 45 \times π \).

To get a numerical value, you can use the approximation for π:
\[ V = 45 \times 3.14159 \approx 141.37 \text{ cubic centimetres (cm}^3\text{)} \]

Therefore, the volume of the cylinder is approximately 141.37 cm³. This method ensures you understand each step: squaring the radius, multiplying by the height, and then by π. Remember, the units for volume will be cubic centimetres (cm³) since you are working with centimetres for both the radius and height.