What approximate value should come in the place of question (?) mark.
`?^(3) xx 18.08 + sqrt(625.01) = 2274.98`

Options

A. 15
B. 25
C. 35
D. 5

Answer

To solve the equation \( ?^3 \times 18.08 + \sqrt{625.01} = 2274.98 \) and find the approximate value of the question mark (?), we will follow these steps:

### Step 1: Approximate the terms
First, we will approximate the values in the equation:
- \( 18.08 \) can be approximated to \( 18 \).
- \( \sqrt{625.01} \) can be approximated to \( \sqrt{625} \), which is \( 25 \).
- \( 2274.98 \) can be approximated to \( 2275 \).

### Step 2: Rewrite the equation
Now, substituting the approximate values into the equation:
\[ ?^3 \times 18 + 25 = 2275 \]

### Step 3: Isolate the term with the question mark
Next, we will isolate the term with the question mark:
\[ ?^3 \times 18 = 2275 - 25 \]
\[ ?^3 \times 18 = 2250 \]

### Step 4: Solve for the cube of the question mark
Now, we will solve for \( ?^3 \):
\[ ?^3 = \frac{2250}{18} \]

### Step 5: Calculate the division
Now, performing the division:
\[ ?^3 = 125 \]

### Step 6: Find the cube root
To find the value of the question mark, we take the cube root of \( 125 \):
\[ ? = \sqrt[3]{125} = 5 \]

### Conclusion
Thus, the approximate value that should come in place of the question mark is \( 5 \).