Advanced SAT Math volume question

Question

Water is poured into a rectangular container 10 centimeters   long, 12 cm wide, and 9 cm high, until it is 1/20 full. All this water is then poured into an empty cylindrical container with a circular base of radius 3 cm. The height of the water in the cylindrical container is y/π centimeters, where y is a constant. What is the value of y?

Answer 1

See the videa.

I worked it. On SAT day you can work similar questions.

Answer 2

First let's get the volume of water in the rectangular container. The total volume is

10 * 12 * 9 = 1080 cm³

The container is 1/20 full, so 1080/20 = 54 cm³.

The volume of a cylinder is V = πr²h,

We know that V = 54 and r = 3, so we can write this as

54 = 9πh

And solving for h gives 6/π, therefore y = 6.