Final answer:
The volume of the right circular cylinder is approximately 10.993 cubic inches.
Step-by-step explanation:
To find the volume of a right circular cylinder, we use the formula V = πr²h, where r is the radius of the base and h is the height. In this case, the diameter is given as the square root of 5 inches, so the radius is half of the diameter, which is (√5)/2 inches. The height is 1 foot, which is equal to 12 inches. Plugging in these values into the formula, we get:
V = π((√5)/2)²(12)
Calculating this, the volume of the cylinder is approximately 10.993 cubic inches.