The contents of one full cylindrical silo are to be transferred to ano

You need to know what fraction of the larger volume will the smaller volume occupy. So all you need is this ratio:

Smaller volume/Larger volume

(1) The larger silo has twice the base radius, and twice the height, of the smaller one.

= \(\frac{\pi*r^2*h}{\pi*(2r)^2*2h}\)

= \(\frac{1}{8}\)

Sufficient

(though we didn't really need to solve this)


(2) The smaller silo has a circular base with a radius of 10 feet.

We don't have relative heights of the two cylinders. Not sufficient.

Answer (A)

1) pi(r)^2(h)/pi(2r)^2(2h)=1/8...............sufficient
2)pi(10)^2(h)/ pi(R)^2(H).................. insufficient, too many unknown variables.

I doubt whether this question has 600-700 level of difficulty

is it expected that the contents of a Silo will evenly fit in both of the cylinders? could it be possible to have contents that are big (like boxes or something like that) that may not fill in the same proportion in one cylinder vs. the other?

The correct answer is A. I said E.


The volume for a cylinder can be calculated by multiplying the area of the base times the height. The base is a circle with an area of r 2, where r is the radius of the circle. Thus the volume of a cylinder is r 2 × h, where h represents the height of the figure.

(1) SUFFICIENT: If we call the radius of the smaller cylinder r, and the height of the smaller cylinder h, the volume of the smaller cylinder would be r 2 h. If the radius of the larger cylinder is twice that of the smaller one, as is the height, the volume of the larger cylinder would be (2 r) 2(2 h) = 8 r 2 h. The volume of the larger cylinder is eight times larger than that of the smaller one. If the contents of the smaller silo, which is full, are poured into the larger one, the larger one will be 1/8 full.

(2) INSUFFICENT: This question is about proportions, and this statement tells us nothing about volume of the smaller silo relative to the larger one.

C trap question

Statement 1

This statement establishes the proportion between the base and height of each cyclinder with pi as a constant, we can plug in any number and will still get the same result


A

SUB 600

VeritasKarishma plz solve this