4 Multi-Topic Questions (Chapter 33)39
aiThe diagram shows a hollow cone with base radius
AC=3cm and edge OA=18cm. Calculate
a the height OC
b angle AOC
c the circumference of base.
ii The cone is cut along the line OA and opened out
to form the sector AOA^0. Calculate
a the circumference of a circle of radius 18 cm
b angle AOA^0.b The top part of asolidcone is removed.
The height of the remaining solid is half the height of
the original cone.i Write down, in the form 1:n, the ratios
a the base radius of the cone removed : the base radius of the original cone
b the curved surface area of the cone removed : the curved surface area of the original
cone
c the volume of the cone removed : the volume of the original cone.
ii The curved surface area of the original cone was 24 ¼cm^2.
Calculate, in terms of¼, the curved surface area of the remaining solid.
iii The volume of the original cone wasVcm^3.
Give the volume of the remaining solid in terms ofV.40 Nov 1994, Paper 4
Mahmoud enjoys flying his kite. On any given day, the probability that there is a good wind is^34.
If there is a good wind, the probability that the kite will fly is^58. If there is not a good wind, the
probability that the kite will fly is 161.
aiCopy the given tree diagram. Write
on your diagram the probability for
each branch.
ii What is the probability of a good wind
andthe kite flying?
iii Find the probability that, whatever the
wind, the kite doesnotfly.b If the kite flies, the probability that it sticks in a tree is^12. Calculate the probability that, whatever
the wind, the kite sticks in a tree.18 cmOA A'18 cm3cmAOCgood windkite flieskite does not flynot a good windkite flieskite does not flyAdapted from June 1995, Paper 4IGCSE01
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100 100
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