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1) Find the area of this circle:. 6cm. 6cm. 1) Find the area of this circle:. 6cm. 6cm. 28.3cm². Area = r ² = x 3 ² = 28.3 cm ² . 2) Find the area of this circle:. 10cm. 2) Find the area of this circle:. 78.5 cm ². 10cm. Area = r ²

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Presentation Transcript
slide2

1) Find the area of this circle:

6cm

6cm

  • 28.3cm²

Area = r²

= x 3²

= 28.3 cm²

slide4

2) Find the area of this circle:

  • 78.5 cm²

10cm

Area = r²

= x 5²

= 78.5 cm²

cylinders
Cylinders
  • Aim: to calculate the volume of a cylinder
slide8

A cylinder is a type of prism.

Area of

a circle =

Volume of a prism =

Area of cross-section

x length/height

Volume of cylinder

= r² h

slide9

Calculate the volume of the cylinder:

5cm

6cm

Volume of cylinder

= r² h

Volume = x (2.5)² x 6

= 37.5 = 117.8 cm³ (to 1 dp)

slide10

Calculate the volume of the cylinder:

10cm

13cm

Volume of cylinder

= r² h

Volume = x 5² x 13

= 325 = 1021.0 cm³ (to 1 dp)

slide12

I don’t know how to calculate the volume and of a cylinder.

I think I know how to calculate the volume of a cylinder, but need more practice.

I know how to calculate the volume of a cylinder.

surface area of a cylinder
Surface Area of a Cylinder

Circumference =

2 r or d

Height (h)

d

h

Surface area of curved part of cylinder = d h

slide14

Area of top circle = r²

Surface area of curved part of cylinder = d h

Area of bottom circle = r²

Total Surface Area of a

Cylinder =

d h + 2 r²

slide15

Calculate the total surface area

of the cylinder:

4cm

6cm

Surface Area = ( x 4 x 6) +

(2 x x 2²)

= 24 + 8

= 32

= 100.5 cm³ (to 1 d.p.)

Total Surface Area of a

Cylinder =

d h + 2 r²

slide16

Calculate the total surface area

of the cylinder:

8cm

10cm

Surface Area = ( x 8 x 10) +

(2 x x 4²)

= 80 + 32

= 112

= 351.9 cm³ (to 1 d.p.)

Total Surface Area of a

Cylinder =

d h + 2 r²

slide17

Page 105 – 106; Ex 4E

Q1, Q2a, Q3, Q5, Q6