Question
What is the volume of a cone with a diameter of 20 cm and a height of 15 cm? Use 3.14 for pi.(1 point) Responses 6,280 cubic centimeters 6,280 cubic centimeters 314 cubic centimeters 314 cubic centimeters 2,355 cubic centimeters 2,355 cubic centimeters 1,570 cubic centimeters
Answers
Answered by
GPT 3.5
The volume of a cone can be calculated using the formula V = 1/3 * π * r^2 * h, where r is the radius of the base of the cone and h is the height.
Given that the diameter of the cone is 20 cm, the radius (r) would be half of the diameter, so r = 10 cm.
Now, plug in the values:
V = 1/3 * 3.14 * 10^2 * 15
V = 1/3 * 3.14 * 100 * 15
V = 1/3 * 3.14 * 1500
V = 1570 cubic centimeters
Therefore, the volume of the cone is 1570 cubic centimeters.
Given that the diameter of the cone is 20 cm, the radius (r) would be half of the diameter, so r = 10 cm.
Now, plug in the values:
V = 1/3 * 3.14 * 10^2 * 15
V = 1/3 * 3.14 * 100 * 15
V = 1/3 * 3.14 * 1500
V = 1570 cubic centimeters
Therefore, the volume of the cone is 1570 cubic centimeters.
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