The diagram shows two geometrically similar bottles, containing cooking oil. The height of the smaller bottle is 15 cm. The height of the larger bottle is 25 cm.
The diameter of the base of the larger bottle is 10 cm. Calculate the diameter of the base of the smaller bottle.[2]
The smaller bottle has a capacity of 400 ml. The manufacturer makes another geometrically similar bottle that holds 1.2 litres. Calculate the height of this bottle.[2]
Two congruent semicircles with radius 4 cm and centres (P) and (Q) overlap as shown below.[5]
Calculate the area of the shaded region.
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