a 3D shape with a base that is a circle and a parallel opposite face that is identical. Cross sections parallel to the base are uniform.

Surface area of cylinders

Maths

In this unit, pupils have derived the formula for the circumference and area of a circle. In the future unit, this knowledge is combined with knowledge of fractions to find the arc length and area of a sector.

 In the prior unit, pupils learnt how to derive and use the formula for the area of a triangle and trapezium. In this unit, this knowledge is called upon to find the volume of different prisms and area of composite shapes.

In this unit pupils extend their knowledge of shapes by exploring the properties of circles and composite shapes before developing understanding of 3-D shapes including surface area and volume.

Perimeter, area and volume

True - it has a uniform cross-section throughout the length.

False - the uniform cross-section is not a polygon.

A cylinder is a type of prism. True or false?

A {{ }} is a 3D shape with a base that is a circle and a parallel opposite face that is identical. A cross-section of a cylinder made parallel to the base is congruent to the base. 

$$\text{Surface area}=2(\pi r)^2 +2 \pi rh $$

Which of these is the formula for the surface area of any cylinder, where $$r$$ is the radius and $$h$$ is the height?

The surface area of a cylinder with a diameter of 10 cm and a height of 7 cm is {{ }}$$\pi \text{ cm}^2.$$

A cylinder has a surface area of $$72\pi \text{ cm}^2$$ and a radius of 3 cm. What is the length of the cylinder?

The area of a rectangle with a width of 6 cm and a length of 14 cm is {{ }} $$\text{ cm}^2$$.

What is the area of a circle, with a radius of 5 cm?

The area of a circle with a diameter of 16 cm, has an area of {{ }} $$\pi \text{ cm}^2$$.

The surface area is the total area of all the surfaces of a closed {{  }} shape. The surfaces include all faces and any curved surfaces. 

A cuboid has dimensions 4 cm, 6 cm and 15 cm. Select all the areas of its surfaces.

A cube has a surface area of 294 $$\text{ cm}^2$$. The area of each face is {{ }} $$\text{ cm}^2$$.

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