Final answer:
The volume of a cylinder with a radius of 5 centimeters and a height of 10 centimeters is calculated as 785 cubic centimeters using the formula V = πr²h. The correct answer is 785 cubic centimeters (option d).
Step-by-step explanation:
To find the volume of a cylinder, we use the formula V = πr²h, where V is the volume, π (pi) is approximately 3.14, r is the radius, and h is the height. In this case, the radius of the cylinder is 5 centimeters and the height is 10 centimeters. Substituting these values into the formula gives us:
V = 3.14 × (5 cm)² × 10 cm
V = 3.14 × 25 cm² × 10 cm
V = 3.14 × 250 cm³
V = 785 cm³
So, the volume of the cylinder is 785 cubic centimeters, which rounds to 785 cm³ - option d is the correct choice.