The problem states that a factory produced $0.08 \ m^3$ of pineapple juice. $3000 \ cm^3$ of pineapple juice was removed for quality testing. We need to calculate how much pineapple juice is left in the batch, and provide the answer in $cm^3$.

1. Problem Description

The problem states that a factory produced $0.08 \ m^3$ of pineapple juice. $3000 \ cm^3$ of pineapple juice was removed for quality testing. We need to calculate how much pineapple juice is left in the batch, and provide the answer in $cm^3$.

2. Solution Steps

First, we need to convert the volume of pineapple juice produced from $m^3$ to $cm^3$.

We know that $1 \ m = 100 \ cm$.

Therefore, $1 \ m^3 = (100 \ cm)^3 = 100^3 \ cm^3 = 1,000,000 \ cm^3$.

So, $0.08 \ m^3 = 0.08 \times 1,000,000 \ cm^3 = 80,000 \ cm^3$.

Now, we subtract the volume of pineapple juice removed from the total volume:

$80,000 \ cm^3 - 3000 \ cm^3 = 77,000 \ cm^3$.

3. Final Answer

$77000 \ cm^3$