The first statement is about the diameter of the circle.
The diameter of a circle is always the double of its radius.
So if circle A ras a radius of 4 inches, its diameter is:
[tex]\text{diameter}=2\cdot\text{radius}=2\cdot4=8\text{ inches}[/tex]
So the first statement is true (YES)
The second statement is about the area of the circle. The area of a circle is given by the following equation:
[tex]Area=\pi\cdot r^2[/tex]
If the radius of the circle is 4 inches, we have:
[tex]\text{Area}=\pi\cdot4^2=16\pi[/tex]
So the second statement is also true (YES)
The third statement is about the volume of a cylinder with a height of 6 inches and the circle A as the base. The volume of a cylinder is given by the equation:
[tex]\text{Volume}=\pi\cdot r^2\cdot h[/tex]
Using the radius = 4 inches and the height = 6 inches, we have:
[tex]\begin{gathered} \text{Volume}=\pi\cdot4^2\cdot6 \\ \text{Volume}=\pi\cdot16\cdot6=96\pi \end{gathered}[/tex]
The volume is not 64pi, so this statement is false (NO).
