The smart way to improve grades

Comprehensive & curriculum aligned

Affordable pricing from £10/month

Surface Area of Cylinders

In this worksheet, students calculate the surface area of cylinders given their diameter and height.

'Surface Area of Cylinders' worksheet

Key stage:  KS 3

Curriculum topic:   Geometry and Measures

Curriculum subtopic:   Use 3D Shape Knowledge to Solve Problems

Difficulty level:  

$appendString = '&new=1'; $_SESSION['guest_aId'] = rand(); $urlToRedirect = FRAMEWORK_PATH . 'preview/worksheet/introduction?aId=' . $_SESSION['guest_aId'] . '&wId=' . $wsData['id'] . '&usertype=guest' . $appendString; ?>

Worksheet Overview

QUESTION 1 of 10

Look at this cylinder.

 

 

It's net is made up of two circles and a rectangle.

 

 

 

 

 

Remember that:

the Area of a circle of radius r = πr2

the Circumference of a circle of diameter d = πd

 

 

Look at these diagrams to see that the base of the rectangle has the same length as the circumference of the circle. 

 

 

So the Surface Area = 2πr2 + πdh = 2πr2 + 2πrh

 

Example

Find the surface area of this cylinder in cm2 to 3 significant figures.

 

Answer

Diameter = 6 cm

Radius = 6 ÷ 2 = 3 cm

Height = 12 cm

 

Surface Area = 2πr2 + 2πrh  = 2 x π x 32 + 2 x π x 3 x 12 = 282.74 ≈ 283 cm2 (3 s.f.)

Find the surface area of this cylinder in cm2 to 3 significant figures.

(just write the number)

 

Find the surface area of this cylinder in cm2 to 3 significant figures.

(just write the number)

 

Find the surface area of this cylinder in cm2 to 3 significant figures.

(just write the number)

 

Find the surface area of this cylinder in cm2 to 3 significant figures.

(just write the number)

 

Find the surface area of this cylinder in cm2 to 3 significant figures.

(just write the number)

 

Find the surface area of this cylinder in cm2 to 3 significant figures.

(just write the number)

 

 

Find the surface area of this cylinder in cm2 to 3 significant figures.

(just write the number) 

 

Find the surface area of this cylinder in cm2 to 3 significant figures.

(just write the number) 

 

Find the surface area of this cylinder in cm2 to 3 significant figures.

(just write the number) 

 

Find the surface area of this cylinder in cm2 to 3 significant figures.

(just write the number) 

 

 

  • Question 1

Find the surface area of this cylinder in cm2 to 3 significant figures.

(just write the number)

 

CORRECT ANSWER
264
EDDIE SAYS
(2 x area of the circle at the end) + (The area of the circle x the height of the cylinder) (2 × π × r²) + (2 × π × r × h) (2 × π × 3²) + (2 × π × 3 × 11)
  • Question 2

Find the surface area of this cylinder in cm2 to 3 significant figures.

(just write the number)

 

CORRECT ANSWER
352
EDDIE SAYS
(2 x area of the circle at the end) + (The area of the circle x the height of the cylinder) (2 × π × r²) + (2 × π × r × h) (2 × π × 4²) + (2 × π × 4 × 10)
  • Question 3

Find the surface area of this cylinder in cm2 to 3 significant figures.

(just write the number)

 

CORRECT ANSWER
363
EDDIE SAYS
(2 x area of the circle at the end) + (The area of the circle x the height of the cylinder) (2 × π × r²) + (2 × π × r × h) (2 × π × 5.5²) + (2 × π × 5.5 × 5)
  • Question 4

Find the surface area of this cylinder in cm2 to 3 significant figures.

(just write the number)

 

CORRECT ANSWER
212
EDDIE SAYS
(2 x area of the circle at the end) + (The area of the circle x the height of the cylinder) (2 × π × r²) + (2 × π × r × h) (2 × π × 2.5²) + (2 × π × 2.5 × 11)
  • Question 5

Find the surface area of this cylinder in cm2 to 3 significant figures.

(just write the number)

 

CORRECT ANSWER
730
EDDIE SAYS
(2 x area of the circle at the end) + (The area of the circle x the height of the cylinder) (2 × π × r²) + (2 × π × r × h) (2 × π × 7.5²) + (2 × π × 7.5 × 8)
  • Question 6

Find the surface area of this cylinder in cm2 to 3 significant figures.

(just write the number)

 

 

CORRECT ANSWER
245
EDDIE SAYS
(2 x area of the circle at the end) + (The area of the circle x the height of the cylinder) (2 × π × r²) + (2 × π × r × h) (2 × π × 3²) + (2 × π × 3 × 10)
  • Question 7

Find the surface area of this cylinder in cm2 to 3 significant figures.

(just write the number) 

 

CORRECT ANSWER
89.5
EDDIE SAYS
(2 x area of the circle at the end) + (The area of the circle x the height of the cylinder) (2 × π × r²) + (2 × π × r × h) (2 × π × 1.5²) + (2 × π × 1.5 × 8)
  • Question 8

Find the surface area of this cylinder in cm2 to 3 significant figures.

(just write the number) 

 

CORRECT ANSWER
138
EDDIE SAYS
(2 x area of the circle at the end) + (The area of the circle x the height of the cylinder) (2 × π × r²) + (2 × π × r × h) (2 × π × 2²) + (2 × π × 2 × 9)
  • Question 9

Find the surface area of this cylinder in cm2 to 3 significant figures.

(just write the number) 

 

CORRECT ANSWER
881
EDDIE SAYS
(2 x area of the circle at the end) + (The area of the circle x the height of the cylinder) (2 × π × r²) + (2 × π × r × h) (2 × π × 8.5²) + (2 × π × 8.5 × 8)
  • Question 10

Find the surface area of this cylinder in cm2 to 3 significant figures.

(just write the number) 

 

 

CORRECT ANSWER
442
EDDIE SAYS
(2 x area of the circle at the end) + (The area of the circle x the height of the cylinder) (2 × π × r²) + (2 × π × r × h) (2 × π × 6.25²) + (2 × π × 6.25 × 5)
---- OR ----

Sign up for a £1 trial so you can track and measure your child's progress on this activity.

What is EdPlace?

We're your National Curriculum aligned online education content provider helping each child succeed in English, maths and science from year 1 to GCSE. With an EdPlace account you’ll be able to track and measure progress, helping each child achieve their best. We build confidence and attainment by personalising each child’s learning at a level that suits them.

Get started
laptop

Start your £1 trial today.
Subscribe from £10/month.