To find the volume of the cylinder, you can use the formula:
\[ V = B \cdot h \]
where \( V \) is the volume, \( B \) is the area of the base, and \( h \) is the height.
You've given:
- Area of the base \( B = 12.56 , \text{in}^2 \)
- Height \( h = 6 , \text{in} \)
Now, substitute the values into the formula:
\[ V = 12.56 , \text{in}^2 \cdot 6 , \text{in} \]
Calculating this gives:
\[ V = 12.56 \cdot 6 = 75.36 , \text{in}^3 \]
So, the volume of the cylinder is:
\[ V = 75.36 , \text{in}^3 \]