The lake situated behind the dam covers 55 hectares. With the gates open, water leaves at a rate of 75 000 litres per second.
(a(i))[1]
Show that 90 million litres of water pass out in 20 minutes.
(a(ii))[3]
Calculate how much the lake's water level falls when the gates stay open for 20 minutes. Give the answer in centimetres.
(a(iii))[3]
Calculate the sector's perimeter.
(b(i))[2]
Calculate the cone's volume.
(b(ii))[4]
Calculate the smaller sphere's radius.
Worked solution & mark scheme
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