To find the volume of the chocolate cone, we can use the formula for the volume of a cone, which is V = (1/3)πr^2h, where r is the radius and h is the height.
Given that the diameter is 2 cm, the radius would be half of that, which is 1 cm.
By substituting the values into the formula, we have:
V = (1/3)π(1 cm)^2(6 cm)
Simplifying this:
V = (1/3)π(1 cm)^2(6 cm)
V = (1/3)π(1 cm)(1 cm)(6 cm)
V = (1/3)π (6 cm^3)
V ≈ 6.28 cubic centimeters
Therefore, the correct answer is 6.28 cubic centimeters.
A professional baker uses a chocolate mold to make decorations for cakes. One chocolate mold is in the shape of a cone and has a diameter of 2 cm and a height of 6 cm. What volume of chocolate, in cubic centimeters, is needed to make a solid chocolate cone? Use 3.14 for π
.(1 point)
Responses
37.68 cubic centimeters
37.68 cubic centimeters
18.84 cubic centimeters
18.84 cubic centimeters
12.56 cubic centimeters
12.56 cubic centimeters
6.28 cubic centimeters
1 answer