Find the volume of a cylinder with radius 5 cm and height 10 cm. Round to two decimal places.

Solution:

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

1. Given radius \( r = 5 \) cm and height \( h = 10 \) cm.
2. Substitute the values into the formula: \( V = \pi \cdot (5 \text{ cm})^2 \cdot 10 \text{ cm} \)
3. Calculate the volume: \( V = \pi \cdot 25 \text{ cm}^2 \cdot 10 \text{ cm} = 250 \pi \text{ cm}^3 \)
4. Approximate \( \pi \) as 3.14159 and round to two decimal places: \( V \approx 250 \times 3.14159 \text{ cm}^3 \approx 785.398 \text{ cm}^3 \)
5. Rounded to two decimal places, \( V \approx 785.40 \text{ cm}^3 \).

Answer: The volume of the cylinder is approximately 785.40 cm³.