To calculate the volume of the cylinder, we need to multiply the area of the base by the height.
From your input, we have:
- Area of the base \( A = 78.5 , \text{in}^2 \)
- Height \( h = 6 , \text{in} \)
Now we can use the formula for the volume of a cylinder:
\[ V = A \cdot h \]
Plugging in the values:
\[ V = 78.5 , \text{in}^2 \cdot 6 , \text{in} \]
Calculating this gives:
\[ V = 78.5 \cdot 6 = 471 , \text{in}^3 \]
Thus, the volume of the cylinder is:
\[ V = 471 , \text{in}^3 \]