The surface area of a sphere | Maths | Quizalize & Oak National Academy

Starter quiz

Match each letter to the name of the shape.

A

⇔

Pyramid ✓

B

⇔

Cylinder ✓

C

⇔

Cone ✓

D

⇔

Cuboid ✓
Which calculation gives the surface area of a cylinder of radius 2 cm and height 9 cm?

Surface area = $2 \pi \times 2 + \pi \times 2 \times 9^2$

Surface area = $\pi \times 2^2 + 2\pi \times 2 \times 9$

Surface area = $2 \pi \times 2^2 + 2\pi \times 2 \times 9$ ✓

Surface area = $2\pi \times 2 \times 9$

Surface area = $\pi \times 2^2 + 2\pi \times 2^2 \times 9$
The area of a circle is 19.6 cm². What is the radius of the circle? Give your answer correct to 1 decimal place.

1.4 cm

2.5 cm ✓

4.4 cm

5.0 cm
A cylinder has a radius of 3 mm and a height of 10 mm. The volume of the cylinder, in terms of $\pi$ , is ______ $\pi$ mm³.

'90' ✓
A cylinder has a radius of 3 mm and a height of 10 mm. The surface area of the cylinder, in terms of $\pi$ , is ______ $\pi$ mm².

'78' ✓
The volume of a cube is 125 cm³. The surface area of the cube is ______ cm².

'150' ✓

Exit quiz

Which of these 3D shapes is a sphere?
Complete the formula for the surface area of a sphere, with a radius of $r$ : surface area = ______ $\pi r^2$ .

'4' ✓
Match each sphere to its surface area.

Radius of sphere = 6 cm

⇔

144𝜋 ✓

Diameter of sphere = 8 cm

⇔

64𝜋 ✓

Diameter of sphere = 0.5 cm

⇔

0.25𝜋 ✓

Radius of sphere = 0.5 cm

⇔

𝜋 ✓

Diameter of sphere = 4 cm

⇔

16𝜋 ✓

Radius of sphere = 1 cm

⇔

4𝜋 ✓
A sphere has a surface area of 196𝜋 m². The radius of the sphere is ______ m.

'7' ✓
The radius of this hemisphere is 6 cm. Work out the total surface area of the hemisphere. Give your answer correct to 3 significant figures.

226 cm²

339 cm² ✓

452 cm²

565 cm²
The total surface area of this hemisphere is 192𝜋 cm². The radius of the hemisphere is ______ cm.

'8' ✓

Worksheet

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Lesson Details

Key learning points

There is a formula for the surface area of a sphere.
Demonstration allows you to see that this formula works.
The formula can be used to calculate a missing measurement when the surface area is known.

Common misconception

Pupils may forget the constant '4' when calculating the surface area.

Show the demonstration of the formula of the surface area using a different spherical fruit to see that it is always 4 regardless of the size of the sphere. You can also relate it to the 1/2 in the formula of the area of triangle.

Keywords

Sphere - A sphere is a 3D shape, where every point on its surface is equidistant from the centre.