Composite Volume Practice

A composite volume is the total volume of a solid figure that is made up of two or more simple geometric shapes, such as cylinders, cones, and prisms.

The volume of a cylinder is calculated using the formula: $$V = \text{Base Area} \times \text{Height} = \text{πr}^2h$$ , where r is the radius and h is the height.

The volume of a cone is given by the formula: $$V = \frac{1}{3} \text{Base Area} \times \text{Height} = \frac{1}{3} \text{πr}^2h$$ .

The volume of a rectangular prism is calculated using the formula: $$V = \text{Length} \times \text{Width} \times \text{Height}$$ .

To calculate the volume of a composite figure, find the volume of each individual shape and then add or subtract them as necessary.

Using the formula $$V = \text{πr}^2h$$ , the volume is $$V = \text{π}(3^2)(5) = 45\text{π} \text{cm}^3$$ .

Calculate the volume of the cylinder and the volume of the cone, then subtract the volume of the cone from the volume of the cylinder.

The volume is found by calculating the volume of the cylinder and the volume of the cone, then adding them together.

The volume of a pyramid is given by the formula: $$V = \frac{1}{3} \text{Base Area} \times \text{Height}$$ .

To find the volume of a hollow cylinder, calculate the volume of the outer cylinder and subtract the volume of the inner cylinder.