To find the volume of a cone, you can use the formula V = (1/3)πr^2h, where V is the volume, π is pi, r is the radius, and h is the height.
Given that the diameter of the cone is 12 inches, we can find the radius by dividing the diameter by 2:
Radius = 12 inches / 2 = 6 inches
Now, we can plug in the values for the radius and height into the volume formula:
V = (1/3)π(6 inches)^2(6 inches)
= (1/3)π(36 inches^2)(6 inches)
= (1/3)π(1296 inches^3)
= (1/3)(3.14159)(1296 inches^3)
= 1361.72 inches^3
Rounded to the nearest cubic inch, the volume of the cone is 1,362 inches^3.
Therefore, the closest option listed is 1,361 in.³.
What is the volume of the cone, rounded to the nearest cubic inch?
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A cone with height 6 in. and diameter 12 in.
Responses
72 in.³
226 in.³
905 in.³
2,714 in.³
3 answers
the correct answer is 226
Apologies for the confusion. Let's go through the calculation again.
Given that the height of the cone is 6 inches and the diameter is 12 inches, we can find the radius by dividing the diameter by 2:
Radius = 12 inches / 2 = 6 inches
Now, we can plug in the values for the radius and height into the volume formula:
V = (1/3)π(6 inches)^2(6 inches)
= (1/3)π(36 square inches)(6 inches)
= (1/3)π(216 cubic inches)
≈ (1/3)(3.14159)(216 cubic inches)
≈ 226.1953 cubic inches
Rounded to the nearest cubic inch, the volume of the cone is 226 cubic inches.
Therefore, the correct answer is 226 in.³.
Given that the height of the cone is 6 inches and the diameter is 12 inches, we can find the radius by dividing the diameter by 2:
Radius = 12 inches / 2 = 6 inches
Now, we can plug in the values for the radius and height into the volume formula:
V = (1/3)π(6 inches)^2(6 inches)
= (1/3)π(36 square inches)(6 inches)
= (1/3)π(216 cubic inches)
≈ (1/3)(3.14159)(216 cubic inches)
≈ 226.1953 cubic inches
Rounded to the nearest cubic inch, the volume of the cone is 226 cubic inches.
Therefore, the correct answer is 226 in.³.
1 answer