What is the volume of a cone with a diameter of 20 cm and a height of 15 cm? (1 point)
• 314 cubic centimeters
• 6,280 cubic centimeters
• 2,355 cubic centimeters
O 1,570 cubic centimeters
The volume of a cone can be calculated using the formula V = (1/3)πr^2h, where V is the volume, π is a constant (approximately 3.14159), r is the radius, and h is the height.
Given that the diameter of the cone is 20 cm, the radius (r) can be calculated by dividing the diameter by 2:
r = diameter/2 = 20 cm/2 = 10 cm
Using the given height of 15 cm, the formula V = (1/3)πr^2h can be used to find the volume:
V = (1/3)π(10 cm)^2(15 cm)
V = (1/3)π(100 cm^2)(15 cm)
V = (1/3)(3.14159)(100 cm^2)(15 cm)
V ≈ (1/3)(3.14159)(1500 cm^3)
V ≈ 1570 cm^3
Therefore, the volume of the cone is approximately 1570 cubic centimeters. The correct answer is O 1,570 cubic centimeters.