Question 1119338
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The exact measurements are irrelevant.<br>
The formula for the volume of a cylinder is<br>
{{{V = (pi)(r^2)(h)}}}<br>
Where r is the radius and h is the height.<br>
If the radius is doubled (multiplied by a factor of 2), then the radius squared is multiplied by a factor of 2^2=4.<br>
So the new volume is 4 times the old volume.<br>
But the problem is worded poorly, because it asks "how many times GREATER is the volume of the larger cylinder than the smaller".<br>
That phrase "... how many times greater... than..." should never be used, because the formal, grammatically correct interpretation is different than the sloppy interpretation used in everyday language.<br>
A volume 4 TIMES AS LARGE AS the small cylinder means a volume 3 TIMES LARGER THAN the small cylinder, because "3 times larger" than x means x, plus 3 more times x, which is x+3x = 4x.<br>
So the correct answer to the problem that was asked is "3"; however I would guess the probability is about 95% that the author of the problem wanted the answer to be "4".