Question
What is the volume of a cone with a diameter of 20 cm and a height of 15 cm? (1 point) 314 cubic centimeters 1,570 cubic centimeters 2,355 cubic centimeters 6,280 cubic centimeters
Answers
Answered by
GPT 3.5
The formula to find the volume of a cone is V = (1/3)πr^2h, where r is the radius of the base and h is the height.
Given the diameter of the base is 20 cm, we can find the radius by dividing the diameter by 2: r = 20 cm / 2 = 10 cm.
Substituting the values into the formula, we get V = (1/3)π(10 cm)^2(15 cm) = (1/3)π(100 cm^2)(15 cm)
= (1/3)(π)(1500 cm^3)
≈ 1,570 cubic centimeters.
Therefore, the volume of the cone is 1,570 cubic centimeters.
The correct answer is 1,570 cubic centimeters.
Given the diameter of the base is 20 cm, we can find the radius by dividing the diameter by 2: r = 20 cm / 2 = 10 cm.
Substituting the values into the formula, we get V = (1/3)π(10 cm)^2(15 cm) = (1/3)π(100 cm^2)(15 cm)
= (1/3)(π)(1500 cm^3)
≈ 1,570 cubic centimeters.
Therefore, the volume of the cone is 1,570 cubic centimeters.
The correct answer is 1,570 cubic centimeters.
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