The area of a circle is given by $A=\pi r^2$. From the table, Dish 2 has radius $5$ centimeters. Substituting gives $A=\pi (5{)}^2=25\pi$. So the correct answer is $25\pi$.

The area of a circle is given by $A=\pi r^2$. Since the radius is $4$, substitute $4$ for $r$: $A=\pi (4{)}^2=\pi (16)=16\pi$. Therefore, the statement that must be true is that the area of the circle is $16\pi$.

The volume of a cylinder is found with the formula $V=\pi r^{2}h$. The radius is 3 feet and the height is 10 feet, so substitute those values: $V=\pi (3{)}^2(10)=\pi (9)(10)=90\pi$. Therefore, the volume of the tank is $90\pi$ cubic feet.

The area of a circle is found with the formula $A=\pi r^2$. The radius of the logo is 5 feet, so substitute $r=5$ into the formula: $A=\pi (5{)}^2=25\pi$. Therefore, the area of the logo is $25\pi$ square feet.

For a cylinder, the volume formula is $V=\pi r^{2}h$. Substitute the given values: $288\pi =\pi r^2(8)$. Divide both sides by $\pi$ to get $288=8r^2$. Then divide by $8$: $36=r^2$. Taking the positive square root gives $r=6$. So the correct answer is $6$.