Relation between Volume and Capacity:

Volume and capacity are related to each other as they both measure the amount of space occupied by an object or substance. However, there is a slight difference between the two terms. Volume refers to the amount of space occupied by a three-dimensional object, whereas capacity refers to the maximum amount that an object can hold or contain.

1. Cube:
- Volume of a cube: The volume of a cube can be calculated by using the formula V = a^3, where "a" represents the length of one side of the cube.

2. Cuboid:
- Volume of a cuboid: The volume of a cuboid can be calculated by using the formula V = lwh, where "l" represents the length, "w" represents the width, and "h" represents the height of the cuboid.

3. Cone:
- Volume of a cone: The volume of a cone can be calculated by using the formula V = (1/3)πr^2h, where "r" represents the radius of the base and "h" represents the height of the cone.

4. Cylinder:
- Volume of a cylinder: The volume of a cylinder can be calculated by using the formula V = πr^2h, where "r" represents the radius of the base and "h" represents the height of the cylinder.

5. Sphere:
- Volume of a sphere: The volume of a sphere can be calculated by using the formula V = (4/3)πr^3, where "r" represents the radius of the sphere.

6. Hemisphere:
- Volume of a hemisphere: The volume of a hemisphere can be calculated by using the formula V = (2/3)πr^3, where "r" represents the radius of the hemisphere.

It is important to note that the units used for volume and capacity are the same, such as cubic centimeters (cm³) or cubic meters (m³), depending on the given measurements.

In summary, volume and capacity are interconnected concepts in mathematics. The formulas provided above allow us to calculate the volume of various geometric shapes, which helps in understanding the amount of space they occupy or the capacity they possess.