WS02 - Cylinder volume
Mathematics, Year 9
- Cylinder volume investigation
- Capacity of cylinders
- Cylinder volume
Annotations
1. Chooses to use the formula for the volume of a cylinder to determine the unknown height of a cylinder that has a volume equivalent to 1 litre.
2. Substitutes approximate values into the formula to form an equation.
3. Solves the equation and rounds the value for the height to two decimal places.
4. Draws a cylinder and labels it with the previous dimensions and appropriate units.
5. Represents the relationship between the total surface area and its parts.
6. Calculates the total surface area of the cylinder, recognising the appropriate unit.
1. Calculates the radius of a cylinder, given its circumference.
2. Uses the formula and given values to calculate the volume of a cylinder.
3. Converts the measurement of volume to capacity, rounding the answer to two decimal places.
4. Compares the capacity of the two cylinders to determine which is larger.
5. Calculates the relative difference between the capacity of each cylinder.
1. Manipulates the formula for the circumference of a circle to calculate the radius of a cylinder with a given height. See also 4.
2. Calculates the volume of a cylinder, using the formula and given dimensions. See also 3.
3. Calculates the volume of a cylinder, using the formula and given dimensions. See also 2.
4. Manipulates the formula for the circumference of a circle to calculate the radius of a cylinder with a given height. See also 1.
5. Chooses the appropriate unit for volume.
6. Demonstrates reasoning to conjecture about the possibility of creating a 10 litre cylinder with the given dimensions of the sheet of paper.
7. Calculates the volume and capacity of cylinders, using given dimensions.
8. Draws a conclusion for the investigation, generalising the process and demonstrating an understanding of the proportional relationship between an increasing circumference and the volume of a cylinder.