Abhi077 wrote:

Attachment:

GC3.png

Cylinder A and cylinder B are

both right circular cylinders that are filled with unknown amounts of water. If cylinder B is completely filled with water and poured into cylinder A, what fraction of cylinder A will be filled with water? (Note: Diagram is not drawn to scale)

1) Cylinders A and B have equal bases.

2) The height of cylinder B is half the height of cylinder A.

Volume of Water in a cylinder \(= π*r^2*h\)Question: what fraction of cylinder A will be filled with water = Volume of Cylinder B / Volume of Cylinder A \(= π*r_B^2*h_B / π*r_A^2*h_A\)?To find what fraction is Cylinder B of Cylinder A we need

1) Ratio of the radie of cylinder A and B

2) Ratio of the Heights of cylinder A and B

In addition we need the amount of water that the two cylinders carry in beginning. (the highlighted part)

Statement 1: Cylinders A and B have equal basesi.e. \(r_a = r_b\) but since we don't know the ratio of heights therefore

NOT SUFFICIENT

Statement 2: The height of cylinder B is half the height of cylinder A.i.e. \(h_B / h_A = 1 / 2\) but since we don't know the ratio of Radie therefore

NOT SUFFICIENT

Combining the two statements\(h_B / h_A = 1 / 2\) and \(r_a = r_b\) But

The unknown amount of water that the two cylinders have are still unknown hence

NOT SUFFICIENT

Answer: Option E

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