What is the volume of a cone with a diameter of 20 cm and a height of 15 cm? (1 point)
Responses
2,355 cubic centimeters
2,355 cubic centimeters
1,570 cubic centimeters
1,570 cubic centimeters
6,280 cubic centimeters
6,280 cubic centimeters
314 cubic centimeters
To calculate the volume of a cone, we use the formula: V = (1/3) * π * r^2 * h, where V is the volume, π is a mathematical constant (approximately equal to 3.14), r is the radius, and h is the height.
Given that the diameter of the cone is 20 cm, we divide it by 2 to get the radius: r = 20 cm / 2 = 10 cm.
The height of the cone is given as 15 cm: h = 15 cm.
Now, we can substitute the values into the formula:
V = (1/3) * 3.14 * (10 cm)^2 * 15 cm
Calculating this expression, we have:
V = (1/3) * 3.14 * 100 cm^2 * 15 cm
= (1/3) * 3.14 * 1500 cm^3
≈ 1570 cm^3
Therefore, the volume of the cone is approximately 1570 cubic centimeters.
The correct answer is:
1,570 cubic centimeters