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

Question

.(1 point)
Responses

6.28 cubic centimeters
6.28 cubic centimeters

37.68 cubic centimeters
37.68 cubic centimeters

12.56 cubic centimeters
12.56 cubic centimeters

18.84 cubic centimeters

Answer 1

To find the volume of a cone, you need to use the formula 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 2 cm, the radius would be half of that, which is 1 cm.
Plugging in the values, the volume of the chocolate cone would be V = (1/3)(3.14)(1^2)(6).
Simplifying, V = (1/3)(3.14)(1)(6) = 6.28 cubic centimeters.
Therefore, the correct answer is 6.28 cubic centimeters.

Answer 2

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

150.72 cubic meters
150.72 cubic meters

25.12 cubic meters
25.12 cubic meters

75.36 cubic meters
75.36 cubic meters

100.48 cubic meters

Answer 3

To find the volume of the sandcastle mold, we 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.

Given that the diameter of the mold is 4 meters, the radius would be half of that, which is 2 meters.

Plugging in the values, the volume of the sandcastle mold would be V = (1/3)(3.14)(2^2)(6).

Simplifying, V = (1/3)(3.14)(4)(6) = 25.12 cubic meters.

Therefore, the correct answer is 25.12 cubic meters.