A cylinder 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 will be congruent to the base.

The surface area is the total area of all the surfaces of a closed 3D shape. The surfaces include all faces and any curved surfaces.

Checking and securing understanding of surface area of a cylinder

Maths

In this unit, pupils have increased their knowledge of volume which is used in the compound measures unit as the formula for density involves volume. 

In the prior unit, pupils built upon their learning of the area of different shapes. In this unit, pupils will continue to further develop their understanding of shapes by considering surface area and volume of pyramids, spheres and cones.

2D and 3D shape: surface area and volume (pyramids, spheres and cones)

The curved surface of a cylinder can be flattened out to form a 2D shape which is a {{}}.

A cylindrical tube is cut and unfolded into a rectangle. Find the values of $$a$$ and $$b$$ on the lengths of the rectangle.

Which formula gives the surface area of a cylinder of radius $$r$$ and height $$h$$?

Find the surface area of a cylinder with radius 5 cm and height 8 cm. Give your answer correct to 3 significant figures.

A cylinder has a radius of 4 mm and a height of 12 mm. The surface area of the cylinder, in terms of $$\pi$$, is {{}}$$\pi$$ mm².

The surface area of this cylinder is 276π cm². The length of marked $$x$$ is {{ }} cm.

A {{ }} is a 3D shape with a base that is a circle and a parallel opposite face that is identical. 

The formula for the volume of a cylinder is __________.

Which of these are correct for the volume, $$V$$, of this cylinder?

Calculate the volume of this semi-cylinder. Give your answer correct to 3 significant figures.

A cylinder fits perfectly inside a cube. The volume of the cube is 512 cm³. The volume of the cylinder in terms of π is {{}}π cm³.

The volume of this cylinder is 405π cm³ . The radius of the cylinder is {{ }} cm.

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