A 5-mile long cylindrical sewage pipe was laid underground. Some years

Question

A 5-mile long cylindrical sewage pipe was laid underground. Some years later the US municipal agency decided to increase the diameter of the pipe and extend it to twice the length. Find the volume of the new pipe.

(1) Both the old and new pipe have their inner and outer radii in the ratio of 2:3

(2) The inner radius of the old pipe is 10 meters

sanjitscorps18 · Answer

In the question stem, it is not provided as to what is the diameter of the new pipe.

Even with both the statements collectively we won't have that information hence Option E

somya95 · Answer

Statement 2 provides the information that inner radius for old pipe was 10 m and as per the question, it was decided to increase the diameter's length to twice. Since we have ratio of inner and outer radius along with length of pipe, volume can be found. Please correct my understanding if I missed anything.

sanjitscorps18 · Answer

This feels more like an SC question that has Pronoun ambiguity. The "it" in this question is confusing. The way I read this question was that there is an increase in the diameter and then there is an extension of length. For me, these two dimensions are referring to two perpendicular axes.

Since the terms "increase" and "extend" are both used with the conjunction "and", I had t assume that the first part talks about the diameter while the second part talks about an extension in the length of the pipe, making it 10 miles.

However, if you consider both the statements to refer to the diameter, we can find the volume on the basis of both the statements but not Statement (2) alone as we would still need to know the internal and external radii.
Again we don't know which volume is the question talking about - internal volume - overall pipe volume - the volume of the pipe thickness

Definitely open to interpretation on the basis of the language used.

somya95 · Answer

I read the question again and your answer seems more appropriate than mine. Thanks!

dbcoupie123 · Answer

The phrasing of the question makes no sense. The sentence seems to refer "diameter of the pipe" as the subject for the increase to twice its length. It does not refer to anything related to the horizontal length of the pipe.

If you have both the old inner radius and the ratio, you can figure out the volume. Not a well written question.

A 5-mile long cylindrical sewage pipe was laid underground. Some years

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A 5-mile long cylindrical sewage pipe was laid underground. Some years

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