Starter quiz
- The area of a circle with radius 6 cm is ______ .
- '36' ✓
- A circle has an area of . Which of the following statements about the circle are true?
- The diameter is 7 cm.
- The circumference is 14 cm.
- The radius (in centimetres) is the square root of 49. ✓
- The circumference is . ✓
-
- A cuboid with a width of 3 m, a length of 8 m and a height of 6 m has a volume of ______ cm³.
- '144' ✓
- A cylinder is a 3D shape with a base that is a ______ and a parallel opposite face that is identical. A cross-section of a cylinder made parallel to the base will be congruent to the base.
- 'circle' ✓
- Which of these triangular prisms has a volume of 2250 cm³?
- A cuboid has a volume of 90 cm³. Its length is 5 cm. What could the dimensions of the cross-section be?
- 3 cm by 5 cm
- 3 cm by 6 cm ✓
- 8 cm by 10 cm
- 18 cm by 1 cm ✓
- 50 cm by 9 cm
-
Exit quiz
- Volume is the amount of space occupied by a closed ______ shape.
- '3D' ✓
- Which of the following is the formula for the volume of a cylinder, where is the radius and is the height?
-
- ✓
-
-
-
- A cylinder with a radius of 6 cm and a height of 10 cm, has a volume of ______ .
- '360' ✓
- If the radius of a cylinder was to stay the same but the height was to change, what would happen to the volume?
- increase
- decrease
- stay the same
- you cannot tell ✓
-
- A cylinder has a radius of 9 cm and a volume of . What is the length of the cylinder?
-
- ✓
-
-
-
- If you know the volume of a cylinder and its length, what other information can you work out?
- The radius of the circular face. ✓
- The area of the circular face. ✓
- The mass of the cylinder.
- The surface area of the cylinder. ✓
- The colour of the cylinder.
-
Worksheet
Loading worksheet ...
Presentation
Loading presentation ...
Lesson Details
Key learning points
- A cylinder is not a prism but has a similar structure.
- The formula for the volume of a cylinder can be derived by using the formula for a prism.
- This can be used to find the volume of any cylinder.
- Unknown lengths can be found when the volume of a cylinder is known.
Common misconception
Pupils may multiply the length and radius before squaring.
Remind students of the order of operations and link to the volume of a prism formula: finding the area of the cross-section first.
Keywords
Prism - a polyhedron with a base that is a polygon and a parallel opposite face that is identical joined by parallelograms.
Radius - any line segment that joins the centre of a circle to its circumference.
Cylinder - 3D shape with a base that is a circle and a parallel opposite face that is identical and uniform cross-section.
+