Sum of height and diameter of the cylinder is 42 metre.
Quantity 1: Curved surface area of the cylinder whose respective ratio of hight to diameter is `3:4`
Quantity 2: Curved surface area of the cylinder if height of cylinder is 15 m.

Options

A. Quantity `1 gt` Quantity 2
B. Quantity `1 ge` Quantity 2
C. Quantity `2 gt` Quantity 1
D. Quantity 1= Quantity 2 or Relation cannot be established

Explanation

To solve the problem, we need to find the curved surface area of two different cylinders based on the given conditions and then compare them.

### Step 1: Understand the given information
We know that the sum of the height (H) and diameter (D) of the cylinder is 42 meters. Therefore, we can write:
\[ H + D = 42 \]

### Step 2: Analyze Quantity 1
For Quantity 1, the ratio of height to diameter is given as \( 3:4 \). We can express the height and diameter in terms of a variable \( x \):
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