Short Answer 
The volume of a cylinder is calculated using the formula V = œAr¬≤h, with r as the radius and h as the height. In this case, substituting the radius (x + 8) and height (2x + 3) into the formula yields V = œA(x + 8)¬≤(2x + 3), which simplifies to V = œA(2x¬≥ + 35x¬≤ + 176x + 192).
Understand the Cylinder Volume Formula
The volume of a cylinder is calculated using the formula V = ≈ìAr¬¨‚â§h, where r is the radius and h is the height. In this scenario, the radius is given as (x + 8) and the height as (2x + 3). It’s crucial to identify these parameters accurately to ensure correct calculations.
Substitute the Values
Next, substitute the values of r and h into the volume formula. By substituting, we rewrite it as V = œA(x + 8)¬≤(2x + 3). This step transforms the general formula into a specific expression that incorporates your variables. Double-check that the substitutions are correct to avoid errors.
Simplify the Expression
Finally, simplify the expression to derive the volume. Start by expanding (x + 8)¬¨‚⧠to get (x¬¨‚⧠+ 16x + 64), then multiply by (2x + 3). This results in the final volume expression: V = ≈ìA(2x¬¨‚â• + 35x¬¨‚⧠+ 176x + 192). The simplification provides a usable formula for calculating the cylinder’s volume directly.