Question
Volume of Cones Quick Check
What is the volume of a cone with a diameter of 20 cm and a height of 15 cm?
6,260 cubic centimeters
O 2.355 cubic centimeters
O 314 cubic centimeters
1,570 cubic centimeters
What is the volume of a cone with a diameter of 20 cm and a height of 15 cm?
6,260 cubic centimeters
O 2.355 cubic centimeters
O 314 cubic centimeters
1,570 cubic centimeters
Answers
GPT 3.5
To find the volume of a cone, you can use the formula V = 1/3 πr^2h, where r is the radius and h is the height.
Given that the diameter is 20 cm, we can find the radius by dividing it by 2.
Radius = 20 cm/2 = 10 cm
Now we can substitute the values into the formula:
V = 1/3 π(10 cm)^2(15 cm)
V ≈ 1/3 * 3.14 * 100 cm^2 * 15 cm
V ≈ 1/3 * 314 cm^2 * 15 cm
V ≈ 104.67 cm^2 * 15 cm
V ≈ 1570 cm^3
Therefore, the volume of the cone is approximately 1570 cubic centimeters.
So, the correct answer is 1,570 cubic centimeters.
Given that the diameter is 20 cm, we can find the radius by dividing it by 2.
Radius = 20 cm/2 = 10 cm
Now we can substitute the values into the formula:
V = 1/3 π(10 cm)^2(15 cm)
V ≈ 1/3 * 3.14 * 100 cm^2 * 15 cm
V ≈ 1/3 * 314 cm^2 * 15 cm
V ≈ 104.67 cm^2 * 15 cm
V ≈ 1570 cm^3
Therefore, the volume of the cone is approximately 1570 cubic centimeters.
So, the correct answer is 1,570 cubic centimeters.