The value of a coin varies directly to the square of its radius, when its thickness is constant. The radius of a coin is 1.5 cm and its value is ₹ 2. What will be the radius of a coin if its value is ₹ 5?

Explanation

To solve the problem, we need to establish the relationship between the value of the coin and its radius. The value of the coin (V) varies directly with the square of its radius (R) when its thickness is constant. This can be expressed mathematically as:

\[ V = k \cdot R^2 \]

where \( k \) is a constant.

### Step 1: Find the constant \( k \)

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