Surface Area of Cylinders Worksheet

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.

ANSWERS

Question 1

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

CORRECT ANSWER

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.

CORRECT ANSWER

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.

CORRECT ANSWER

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.

CORRECT ANSWER

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.

CORRECT ANSWER

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.

CORRECT ANSWER

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.

CORRECT ANSWER

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.

CORRECT ANSWER

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.

CORRECT ANSWER

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.

CORRECT ANSWER

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)