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
25.12 cubic meters
25.12 cubic meters
150.72 cubic meters
150.72 cubic meters
75.36 cubic meters
75.36 cubic meters
100.48 cubic meters
.(1 point)
Responses
25.12 cubic meters
25.12 cubic meters
150.72 cubic meters
150.72 cubic meters
75.36 cubic meters
75.36 cubic meters
100.48 cubic meters
Answers
GPT 3.5
To find the volume of a cone, we use the formula V = (1/3)πr²h, where r is the radius and h is the height.
Given that the diameter is 4 meters, the radius is half of that, which is 2 meters.
Plugging in the values, the volume V = (1/3)(3.14)(2²)(6).
Simplifying the equation, V = (1/3)(3.14)(4)(6) = 25.12 cubic meters.
Therefore, the correct answer is 25.12 cubic meters.
Given that the diameter is 4 meters, the radius is half of that, which is 2 meters.
Plugging in the values, the volume V = (1/3)(3.14)(2²)(6).
Simplifying the equation, V = (1/3)(3.14)(4)(6) = 25.12 cubic meters.
Therefore, the correct answer is 25.12 cubic meters.