Question

1. solve to find the volume(v). reminders: radius(r) is half of the diameter (distance across the middle of the c v = πr²h

Explanation:

Step1: Identify the formula and given values

The formula for the volume of a cylinder is \( V = \pi r^2 h \). From the diagram, the area of the base (which is \( \pi r^2 \)) is given as \( 16 \, \text{cm}^2 \), and the height \( h \) is \( 12 \, \text{cm} \).

Step2: Substitute the values into the formula

We know that \( \pi r^2 = 16 \) and \( h = 12 \). Substituting these into the volume formula: \( V = 16 \times 12 \).

Step3: Calculate the volume

\( 16 \times 12 = 192 \). So the volume \( V = 192 \, \text{cm}^3 \) (assuming \( \pi \) is not a variable here, but the base area is already given as \( 16 \), so we use that directly).

Answer:

The volume of the cylinder is \( 192 \, \text{cubic centimeters} \) (or \( 192 \, \text{cm}^3 \)).