Final answer:
The volume of the cylinder with a radius of 5 inches and a height three times that is 1,178.0975 cubic inches.
Step-by-step explanation:
To find the volume of a cylinder, we can use the formula V = πr²h, where V is the volume, π (pi) is approximately 3.14159, r is the radius of the cylinder, and h is the height. Given that the radius (r) is 5 inches and the height (h) is three times the radius, we can calculate the height as 3 × 5 inches = 15 inches. Therefore, the volume V is π × (5 inches)² × 15 inches = 3.14159 × 25 in² × 15 in = 1,178.0975 in³.