Question

The jars A to D are of equal radius. The option which gives the correct relationship among the capacity of jars is:

• A. A = B < C < D
• B. D > B = A = C
• C. B = D > A < C
• D. D > A = B > C

Hint:

A slanted-top jar's capacity depends on the average of its two rim heights, not just the taller wall; compare that average across the four jars in the figure.

Answer 1

The Correct Option is D

Since all four jars share the same radius, only the average of each jar's two rim heights decides its capacity, so we can rule out the options one at a time by checking the ordering each one claims.

1. A = B < C < D: The figure shows jar C as the shortest jar with the smallest average rim height, not a jar bigger than A and B, so a claim that C beats A and B cannot be right.
2. D > B = A = C: This bunches C together with A and B as equal, but jar C is visibly shorter and holds less liquid than A and B in the figure, so C cannot be tied with them.
3. B = D > A < C: This claims jar D equals jar B, but jar D's slanted cut is much shorter than jar A's or jar B's cut, giving jar D a clearly larger average height than either of them, so D cannot equal B.
4. D > A = B > C: Jar D's shorter cut gives it the largest average height, jars A and B share the same pair of rim heights so their capacities match, and jar C's shorter walls make it the smallest. This fits the figure exactly.

So the capacities rank as D > A = B > C.

Let's summarize:

• A slanted-top cylinder's capacity depends on the average of its two rim heights, not just the taller side.
• Matching cut patterns in A and B give matching capacities, while a shorter cut in D or shorter walls in C push the capacity up or down.

The correct relationship is D > A = B > C.