DS question from Kaplan

[elangovan28]

How many cylindrical cans with radius of 2 inches and a height of 6 inches can fit into a rectangular box?
1) The volume of the box is 230 cub inches
2)The length of the box is 3 inches.

My answer is (5), neither of them is sufficient.

But Kaplan book says that statement (2) is enough to answer the question.

Can you give me some feedback?

Cheers,
Krishnan

[Rahul@gurome]

How many cylindrical cans with radius of 2 inches and a height of 6 inches can fit into a rectangular box?
1) The volume of the box is 230 cub inches
2)The length of the box is 3 inches.

It's an excellent question with a great moral: Don't start attacking a question with all your formulas when you see one! They may not be of any use.

Given: Cylindrical can with radius = 2 and length = 6. Thus the three dimension of the can are 6, 4 and 4.

Statement: The volume of the box is 230 cube inches.
No information about the individual dimensions.

Not sufficient.

Statement: The length of the box is 3 inches.
In first thought you may conclude that we don't know about the other dimensions, but this is a very important statement which tells that at least one dimension of the box is less than any of the dimensions of the cylinder! Thus it's not possible to put a single cylinder in the box.

Sufficient.

The correct answer is B.