What value will come in place of the question mark (?) in each of the following questions ?
`sqrt(6561)-sqrt(2916)=(?)^3`

Options

A. 2
B. 3
C. 4
D. 5

Answer

To solve the equation \( \sqrt{6561} - \sqrt{2916} = (?)^3 \), we will follow these steps:

### Step 1: Calculate \( \sqrt{6561} \)
We need to find the square root of 6561.
- We know that \( 81^2 = 6561 \).
- Therefore, \( \sqrt{6561} = 81 \).

### Step 2: Calculate \( \sqrt{2916} \)
Next, we find the square root of 2916.
- We know that \( 54^2 = 2916 \).
- Therefore, \( \sqrt{2916} = 54 \).

### Step 3: Substitute the values into the equation
Now we can substitute the square roots we calculated back into the equation:
\[ \sqrt{6561} - \sqrt{2916} = 81 - 54 \]

### Step 4: Perform the subtraction
Now, we perform the subtraction:
\[ 81 - 54 = 27 \]

### Step 5: Set the equation equal to \( (?)^3 \)
Now we have:
\[ 27 = (?)^3 \]

### Step 6: Solve for \( ? \)
To find \( ? \), we need to determine what number cubed equals 27.
- We know that \( 3^3 = 27 \).
- Therefore, \( ? = 3 \).

### Final Answer
The value that will come in place of the question mark (?) is \( 3 \).

---