This chapter introduces four methods for calculating the volume of geometric objects. Two methods are related to solids of revolution, where an object is divided into flat slices or cylindrical shells and summed using a single integral. The third method uses two integrals: the first calculates the area of a slice through a volume, and the second sums these areas. The fourth method uses three integrals to sum the volume of an object. The chapter begins with the slicing method. In Section 11.2, the method for calculating the volume of a solid of revolution using disks is introduced. It is shown that the volume of a solid formed by rotating a curve around the x-axis is given by the integral $ V = \pi \int_{a}^{b} (f(x))^2 dx $. This is demonstrated by dividing the solid into thin disks, each with a volume of $ \pi r^2 \Delta x $, and summing these volumes. The example of a cylinder is given, where the volume is calculated using the formula $ V = \pi r^2 h $, confirming the method. The method is applied to compute the volume of a cylinder, where the radius is constant and the height is the integration limit. The result matches the known formula for the volume of a cylinder, demonstrating the validity of the method.This chapter introduces four methods for calculating the volume of geometric objects. Two methods are related to solids of revolution, where an object is divided into flat slices or cylindrical shells and summed using a single integral. The third method uses two integrals: the first calculates the area of a slice through a volume, and the second sums these areas. The fourth method uses three integrals to sum the volume of an object. The chapter begins with the slicing method. In Section 11.2, the method for calculating the volume of a solid of revolution using disks is introduced. It is shown that the volume of a solid formed by rotating a curve around the x-axis is given by the integral $ V = \pi \int_{a}^{b} (f(x))^2 dx $. This is demonstrated by dividing the solid into thin disks, each with a volume of $ \pi r^2 \Delta x $, and summing these volumes. The example of a cylinder is given, where the volume is calculated using the formula $ V = \pi r^2 h $, confirming the method. The method is applied to compute the volume of a cylinder, where the radius is constant and the height is the integration limit. The result matches the known formula for the volume of a cylinder, demonstrating the validity of the method.