1. The problem asks to find the volume of a cylinder with radius $r=5$ inches and height $h=30$ inches. 2. The formula for the volume of a cylinder is: $$V = \pi r^2 \times h$$ where $\pi$ is approximately 3.14, $r$ is the radius, and $h$ is the height. 3. Substitute the given values into the formula: $$V = 3.14 \times 5^2 \times 30$$ 4. Calculate the square of the radius: $$5^2 = 25$$ 5. Multiply the values: $$V = 3.14 \times 25 \times 30$$ 6. Multiply 3.14 and 25: $$3.14 \times 25 = 78.5$$ 7. Multiply the result by 30: $$V = 78.5 \times 30 = 2355$$ 8. The volume of the cylinder is $2355$ cubic inches. 9. Since the problem asks to round to the hundredth's place, and the result is an integer, it remains $2355.00$. Final answer: $$\boxed{2355.00\text{ in}^3}$$