Cylinders cap A and cap b are similar solids. The base of cylinder cap A has a circumference of 4 pi units. The base of cylinder cap b has an area of 9 pi units. The dimensions of cylinder cap A are multiplied by what factor to produce the corresponding dimensions of cylinder cap b ?

Cylinder A’s circumference is 4π, so 2πr = 4π gives a radius of 2 units. Cylinder B’s base area is 9π, so πr² = 9π gives a radius of 3 units. The scale factor between corresponding dimensions is 3 ÷ 2 = 3/2, so the correct choice is 3 halves.

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