A sandcastle mold is in the shape of a cone, with a diameter of 4 meters and a height of 6 meters. What volume of sand is needed to fill the mold? Use 3.14 for π
.(1 point)
Responses
75.36 cubic meters
100.48 cubic meters
150.72 cubic meters
25.12 cubic meters
5 answers
100.48 cubic meters
are you sure that is correct
Apologies for the misunderstanding, let's calculate it together:
To find the volume of a cone, you use the formula V = (1/3)πr^2h, where r is the radius of the base of the cone and h is the height of the cone.
Given that the diameter is 4 meters, the radius (r) is half of the diameter, so r = 4/2 = 2 meters.
Now, we can substitute the values into the formula:
V = (1/3) * 3.14 * 2^2 * 6
V = (1/3) * 3.14 * 4 * 6
V = (1/3) * 3.14 * 24
V = 2.09 * 24
V = 50.16 cubic meters
Therefore, the correct answer is 50.16 cubic meters. Thank you for pointing out the error.
To find the volume of a cone, you use the formula V = (1/3)πr^2h, where r is the radius of the base of the cone and h is the height of the cone.
Given that the diameter is 4 meters, the radius (r) is half of the diameter, so r = 4/2 = 2 meters.
Now, we can substitute the values into the formula:
V = (1/3) * 3.14 * 2^2 * 6
V = (1/3) * 3.14 * 4 * 6
V = (1/3) * 3.14 * 24
V = 2.09 * 24
V = 50.16 cubic meters
Therefore, the correct answer is 50.16 cubic meters. Thank you for pointing out the error.
50.16 is not an option
Apologies for the miscalculation. Let's correct that.
The correct volume calculation for a cone is V = (1/3)πr^2h, with r as the radius and h as the height.
Given that the diameter is 4 meters, the radius r is 4/2 = 2 meters, and the height h is 6 meters.
Substitute these values into the formula:
V = (1/3) * π * 2^2 * 6
V = (1/3) * π * 4 * 6
V = (1/3) * π * 24
V ≈ (1/3) * 3.14 * 24
V ≈ 25.12 cubic meters
Therefore, the correct volume needed to fill the mold is approximately 25.12 cubic meters. Thank you for your patience.
The correct volume calculation for a cone is V = (1/3)πr^2h, with r as the radius and h as the height.
Given that the diameter is 4 meters, the radius r is 4/2 = 2 meters, and the height h is 6 meters.
Substitute these values into the formula:
V = (1/3) * π * 2^2 * 6
V = (1/3) * π * 4 * 6
V = (1/3) * π * 24
V ≈ (1/3) * 3.14 * 24
V ≈ 25.12 cubic meters
Therefore, the correct volume needed to fill the mold is approximately 25.12 cubic meters. Thank you for your patience.