Volume of a Cylinder

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Slide 16

Capacity

Volume - The volume of a three-dimensional figure is the amount of space within it.

Measured in Units Cubed (e.g. cm3)

Volume and capacity are related.

Capacity is the amount of material (usually liquid) that a container can hold.

Capacity is measured in millilitres, litres and kilolitres.

Slide 17

Examples of Capacity

Slide 18

How does Volume relate to Capacity?

1000 mL = 1 L

1000 L = 1 kL

1 cm3 = 1 mL

1,000cm3 = 1000ml = 1L

1 m3 = 1000 L = 1 kL

Slide 19

Examples

Convert 1800 mL to L

1800ml = 1800/1000

= 1.8L

2.3 m3 to L 1m3 = 1000L (1kL)

2.3m3 = 2.3kL

= 2300L

Slide 20

Capacity

Find the Capacity of this cube

Length = 5.53cm

V = Ah

= (5.53 x 5.53) x 5.53

= 169.11cm3 (1cm3 = 1ml)

Capacity = 169.11ml

Length = 5.53cm

Slide 21

Example

Find the capacity of this rectangular prism.

Solution

Volume = Ah

= (26 x 12) x5

= 312 × 5

= 1560 cm3 (1cm3 = 1mL)

Capacity = 1560 mL or 1.56 L (1000mL = 1L)

Slide 22

Ex 11.08 – Q 7.

Slide 23

What size rainwater tank would be needed to hold the run-off when 40 mm of rain falls on a roof 12 m long and 3.6 m wide? (Answer in litres.)