For question 20, this "The cylinder has the same internal diameter and length as the diameter of the sphere. " is absolutely crucial. What it is saying is that the height=diameter of sphere=2r and that the radius of the circular opening is also r.
Formula for volume of a cylinder: pi*r^2*h. Now, if h=2r, we get: 2pi*r^3.
We are told (and should know) that the volume of a sphere is 4/3pi*r^3.
To calculate the fraction the sphere takes up, we simply do (4/3pi*r^3)/(2pi*r^3). pi*r^3 cancels out on both sides, giving (4/3)/2=4/6=2/3. Hence, the answer is D.
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When it comes to 26, I actually had a bit trouble with grasping the last sentence (and what I'm supposed to find) due to, in my opinion, the poor phrasing. Nevertheless, after reading it several times, it finally made sense to me.
What they are basically asking is: out of all possible compounds of CH2BrCl, which ones will have the relative molecular mass of 128? In other words, this is a probability question within chemistry.
Now, we are told to assume that the relative atomic mass of carbon and hydrogen is 12 respectively 1 (i.e. always that) which means that we can subtract 128 by 14, giving us 114.
We have two possible masses of chlorine, 35 and 37 and two possible masses of bromine, 79 and 81. If you study these numbers, you will see that the only combination which adds up to 114 is 35 respectively 79.
Now, what is the "probability" that the chlorine in the compound has a mass of 35? We are told that the abundance of Chlorine-35 is three times that of Chlorine-37, or, in other words, that the "probability" is 3/4.
The "probability" of having bromine-79 is the same as having bromine-81, i.e. 1/2.
Hence: 3/4*1/2=3/8, hence C.