Volume of C1, V1 = πr1^2h1

Volume of C2, V2 = πr2^2h2

We need both r1,r2 and h1,h2 to find out which volume is greater.

Statement 1:

Circumference of C1 = X, 2πr1=X

Circumference of C2 = P, 2πr2=P

Ratio of X:P = 3:2

Consider X = 3c and P = 2c, where C is constant

Circumference C1,

2πr1 = 3c --> r1 = 3c/2π

Circumference C2,

2πr2 = 2c --> r2 = 2c/2π --> C/π

Volume V1 = πr1^2h1, we still miss h1 here so insufficient.

Statement 2:

Ratio of y to q is 2:3

Height of C1, y = 2h

Height of C1, q= 3h, where h is constant

We don't have r1 and r2 here hence insufficient.

Statement 1&2:

We have both r1,r2 from (1) and h1,h2 from (2).

V1/V2 = π*(3c/2π)^2*2h/π*(c/π)^2*3h

Reducing the above equation we get

V1/V2 = 9/4

Hence V1 is not lesser than V2. Sufficient

Method 2:

We can solve this without using any calculations. We know that to find volume of a cylinder we require both height and radius. This tell us that each statement alone is not sufficient and we require both statement 1 and statement 2 to find the volume and determine which volume is greater. Hence C (But to be sure you can solve and find volumes)

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