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  1. Maths
  2. Year 9
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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:  

down

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) 

 

 

  • ANSWERS
  • 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)
  • ANSWERS
  • 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)
  • ANSWERS
  • 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)
  • ANSWERS
  • 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)
  • ANSWERS
  • 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)
  • ANSWERS
  • 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)
  • ANSWERS
  • 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)
  • ANSWERS
  • 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)
  • ANSWERS
  • 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)
  • ANSWERS
  • 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 ----

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