Final answer:
The volume of a right circular cylinder with a radius of 3 inches and a height of 10 inches is calculated using the formula V = πr²h, which gives 282.74 cubic inches.
Step-by-step explanation:
To calculate the volume of a right circular cylinder, you can use the formula V = πr²h, where 'V' is the volume, 'r' is the radius, and 'h' is the height of the cylinder. In this instance, the radius (r) is 3 inches, and the height (h) is 10 inches.
Using these values, you can plug them into the formula:
V = π × (3 in)² × 10 in
V = 3.14159 × 9 in² × 10 in
V = 3.14159 × 90 in³
V = 282.74 in³
Therefore, the volume of the cylinder is 282.74 cubic inches.