Mensuration (solids and containers) (Chapter 11) 247EXERCISE 11C.2
1 The size of a car engine is often given in litres. Convert the following into cubic centimetres:
a 2 : 3 litres b 0 : 8 litres c 1 : 8 litres d 3 : 5 litres2aFind the capacity (in ml) of a bottle of volume 25 cm^3.
b Find the volume of a tank (in m^3 ) if its capacity is 3200 kl.
c How many litres are there in a tank of volume 7 : 32 m^3?3 Find the capacity (in kl) of the following tanks:
abc4 A spherical snow globe is made of glass that is 1 cm thick. If the outer diameter of the globe is 12 cm,
find the capacity of its interior.5 How many cylindrical bottles 12 cm high and with 6 cm diameter could be filled from a tank containing
125 litres of detergent?67 The area of the bottom of a pool is 20 m^2 , and the pool is
1 : 5 m deep. A hose fills the pool at a rate of 50 litres per
minute. How long will it take to fill the pool?8 Rachael is drinking orange juice from a cylindrical glass with base diameter 6 cm. She takes a sip,
drinking 30 ml. By how much does the level of the juice in her glass fall?9 Consider the following 3 containers:10 Water flows along a cylindrical pipe of radius 1 : 5 cm at a rate of 12 cm/s. It fills a tank measuring
1 : 2 mby 1 : 1 mby 0 : 8 m. Calculate the time required to fill the tank, giving your answer in hours and
minutes to the nearest minute.11 Answer theOpening Problemon page 231.2.6 m3.4 m3.2 m8.6 m
4.2 m2.5 m2.1 m8cm6.5 cm7cm
4cm20 mXABC
10 cm8cmA 15 litre cylindrical can of paint has a base radius of cm. Find the height of the can.Container A is filled with water. The water from container A is then poured into container B until it is
full, and the remainder is poured into container C. Find the height of the water level in container C.IGCSE01
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Y:\HAESE\IGCSE01\IG01_11\247IGCSE01_11.CDR Tuesday, 14 October 2008 2:56:19 PM PETER