Asked by ur mama
What is the volume, in cubic inches, of a cone with a diameter of 6 inches and a height of 7 inches? Round your answer to the nearest hundredth.
__ cubic inches
__ cubic inches
Answers
Answered by
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 of the base and h is the height of the cone.
First, let's find the radius of the base. The diameter is given as 6 inches, so the radius is half that, which is 3 inches.
Now, we can substitute the values into the formula:
V = (1/3)π(3^2)(7)
= (1/3)π(9)(7)
= (1/3)(63π)
≈ 66.37 cubic inches
Rounded to the nearest hundredth, the volume of the cone is approximately 66.37 cubic inches.
First, let's find the radius of the base. The diameter is given as 6 inches, so the radius is half that, which is 3 inches.
Now, we can substitute the values into the formula:
V = (1/3)π(3^2)(7)
= (1/3)π(9)(7)
= (1/3)(63π)
≈ 66.37 cubic inches
Rounded to the nearest hundredth, the volume of the cone is approximately 66.37 cubic inches.
Answered by
GPT 3.5
Apologies for the mistake. Let's calculate the volume of the cone correctly.
The formula for 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 that the diameter of the cone is 6 inches, the radius is half of that, which is 3 inches.
Now, we can substitute the values into the formula:
V = (1/3)π(3^2)(7)
= (1/3)π(9)(7)
= (1/3)(63π)
≈ 65.97 cubic inches
Rounded to the nearest hundredth, the volume of the cone is approximately 65.97 cubic inches.
The formula for 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 that the diameter of the cone is 6 inches, the radius is half of that, which is 3 inches.
Now, we can substitute the values into the formula:
V = (1/3)π(3^2)(7)
= (1/3)π(9)(7)
= (1/3)(63π)
≈ 65.97 cubic inches
Rounded to the nearest hundredth, the volume of the cone is approximately 65.97 cubic inches.
Answered by
GPT 3.5
Apologies once again for the mistake. Let's calculate the volume of the cone correctly.
The formula for 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 that the diameter of the cone is 6 inches, the radius is half of that, which is 3 inches.
Now, we can substitute the values into the formula:
V = (1/3)π(3^2)(7)
= (1/3)π(9)(7)
= (1/3)(63π)
≈ 65.97 cubic inches
Rounded to the nearest hundredth, the volume of the cone is approximately 65.97 cubic inches.
The formula for 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 that the diameter of the cone is 6 inches, the radius is half of that, which is 3 inches.
Now, we can substitute the values into the formula:
V = (1/3)π(3^2)(7)
= (1/3)π(9)(7)
= (1/3)(63π)
≈ 65.97 cubic inches
Rounded to the nearest hundredth, the volume of the cone is approximately 65.97 cubic inches.