Answer:
1.5874.
Step-by-step explanation:
Add 3 to both sides of the equation to get rid of the constant term:
\[r^3 - 3 + 3 = 1 + 3\]
\[r^3 = 4\]
To solve for \(r\), we need to take the cube root of both sides of the equation:
\[\sqrt[3]{r^3} = \sqrt[3]{4}\]
\[r = \sqrt[3]{4}\]
The cube root of 4 is approximately 1.5874. Therefore, the solution to the equation \(r^3 - 3 = 1\) is \(r \approx 1.5874\).
So, the value of \(r\) that satisfies the equation is approximately 1.5874.
