Final answer:
To calculate the volume of a cylinder with a height of 6 inches and a radius of 3 inches, substitute the values into the formula V = πr²h, resulting in a volume of 54π cubic inches.
Step-by-step explanation:
The volume of a cylinder can be computed using the formula V = πr²h, where V is the volume, r is the radius, and h is the height. To find the volume of a cylinder that is 6 inches high and has a radius of 3 inches, we substitute the values into the formula:
V = π(3 inches)²(6 inches)
= π(9 inches²)(6 inches)
= 54π cubic inches.
The correct answer is
a. 54π cubic inches
.