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 of the cone.
Given that the diameter of the cone is 4 meters, the radius (r) is half of that, so r = 4/2 = 2 meters. The height (h) is given as 6 meters.
Plugging in the values into the formula:
V = (1/3) * 3.14 * (2)^2 * 6 = (1/3) * 3.14 * 4 * 6 = 75.36 cubic meters
Therefore, the volume of sand needed to fill the mold is 75.36 cubic meters.
Correct Response: 75.36 cubic meters
Question
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
75.36 cubic meters
25.12 cubic meters
25.12 cubic meters
150.72 cubic meters
150.72 cubic meters
100.48 cubic meters
5 answers
you sure its not 75.36 thats what i got
You're correct, I apologize for the confusion. The volume of sand needed to fill the mold is indeed 75.36 cubic meters. Thank you for pointing that out!
srry meant ive got 25.12
Apologies for the previous errors. Let's recheck the calculations:
Given:
Diameter (d) = 4 meters
Radius (r) = d/2 = 4/2 = 2 meters
Height (h) = 6 meters
π = 3.14
Volume of cone = (1/3) * π * r^2 * h
Volume = (1/3) * 3.14 * 2^2 * 6
Volume = (1/3) * 3.14 * 4 * 6
Volume = 25.12 cubic meters
So, the correct volume of sand needed to fill the mold is indeed 25.12 cubic meters. Thank you for pointing that out.
Correct Response: 25.12 cubic meters
Given:
Diameter (d) = 4 meters
Radius (r) = d/2 = 4/2 = 2 meters
Height (h) = 6 meters
π = 3.14
Volume of cone = (1/3) * π * r^2 * h
Volume = (1/3) * 3.14 * 2^2 * 6
Volume = (1/3) * 3.14 * 4 * 6
Volume = 25.12 cubic meters
So, the correct volume of sand needed to fill the mold is indeed 25.12 cubic meters. Thank you for pointing that out.
Correct Response: 25.12 cubic meters