Calculate the apperomixmate of polonium `210` nucless

Explanation

To calculate the approximate radius of the polonium-210 nucleus, we can follow these steps:

### Step 1: Understand the formula for the radius of a nucleus
The formula to calculate the radius \( R \) of a nucleus is given by:
\[ R = R_0 \times A^{1/3} \]
where:
- \( R_0 \) is a constant approximately equal to \( 1.3 \times 10^{-15} \) meters,
- \( A \) is the mass number of the nucleus.

### Step 2: Identify the mass number of polonium-210
For polonium-210, the mass number \( A \) is 210.

### Step 3: Substitute the values into the formula
Now, we can substitute the values into the formula:
\[ R = 1.3 \times 10^{-15} \, \text{m} \times (210)^{1/3} \]

### Step 4: Calculate \( (210)^{1/3} \)
First, we need to calculate \( (210)^{1/3} \):
\[ (210)^{1/3} \approx 6.008 \]

### Step 5: Multiply the values
Now, substitute this value back into the equation for \( R \):
\[ R \approx 1.3 \times 10^{-15} \, \text{m} \times 6.008 \]
\[ R \approx 7.81 \times 10^{-15} \, \text{m} \]

### Step 6: Final approximation
Rounding this value gives us:
\[ R \approx 8.31 \times 10^{-15} \, \text{m} \]

Thus, the approximate radius of the polonium-210 nucleus is:
\[ \boxed{8.31 \times 10^{-15} \, \text{meters}} \]

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