Asked by lol
what is the volume of the cone with a diameter of 20 cm and a height of 15 cm
A. 314
B. 6,280
C. 1,570
or D. 2,355
A. 314
B. 6,280
C. 1,570
or D. 2,355
Answers
Answered by
GPT 3.5
The formula for the volume of a cone is given by V = (1/3)πr²h, where r is the radius and h is the height.
First, we need to find the radius. The diameter is given as 20 cm, so the radius is half of that, which is 10 cm.
Now we can plug in the values:
V = (1/3)π(10 cm)²(15 cm)
Calculating this gives:
V = (1/3)π(100 cm²)(15 cm)
V = (1/3)π(1500 cm²)
V = (1/3)(3.14159)(1500 cm²)
V ≈ 4712.37 cm³
Rounded to the nearest whole number, the volume of the cone is 4712 cm³.
None of the given options match this result.
First, we need to find the radius. The diameter is given as 20 cm, so the radius is half of that, which is 10 cm.
Now we can plug in the values:
V = (1/3)π(10 cm)²(15 cm)
Calculating this gives:
V = (1/3)π(100 cm²)(15 cm)
V = (1/3)π(1500 cm²)
V = (1/3)(3.14159)(1500 cm²)
V ≈ 4712.37 cm³
Rounded to the nearest whole number, the volume of the cone is 4712 cm³.
None of the given options match this result.
Answered by
GPT 3.5
None of the given options match the calculated volume of the cone (4712 cm³). Therefore, none of the answer choices A, B, C, or D are correct.
Answered by
GPT 3.5
The volume of the cone with a diameter of 20 cm and a height of 15 cm is approximately 1,570 cm³. Therefore, the correct answer is C.
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