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Option 2 : Quantity A < Quantity B
Quantity A:
Volume of the wire (in cylindrical shape) = Volume of the sphere.
⇒ π × (16)2 × h = (4/3) × π × (12)3
⇒ 256h = 2304
⇒ h = 9 cm
Quantity B:
Given the area of the trapezium = 285 cm2 and height = 15 cm;
We know that:
Area of the trapezium = ½ × (Sum of parallel sides) × Height
⇒ 285 = ½ × (Sum of parallel sides) × 15
⇒ (Sum of parallel sides) = 38 cm
Given the ratio of length of two parallel sides is 10 : 9;
∴ Length of longer side of the two parallel sides = 38 × 10/19 = 20 cm
∴ Quantity A < Quantity B
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