Lesson 2 Homework Practice Volume of Cones Solutions

To calculate the capacity of a cone, use the formula: V = (1/3)πr²h, where r is the radius of the base and h is the height. This formula is essential for solving most problems involving conical shapes.

First, determine the radius and height of the cone from the problem statement. For accuracy, always use consistent units for these measurements, such as centimeters or meters. Once you have the values, square the radius, multiply by the height, then by π, and finally divide the result by 3.

When solving these types of problems, make sure to check if there are any conversions needed, like changing from millimeters to centimeters, or if the height or radius is given as a slant height instead of vertical height. These small adjustments can affect the final calculation.