The volume of a cone can be calculated using the formula V = (1/3)πr²h, where r is the radius of the base and h is the height of the cone.
In this case, the diameter of the cone is given as 2 cm, so the radius is half of that, which is 1 cm. The height is given as 6 cm.
Plugging these values into the formula, we get:
V = (1/3) * 3.14 * (1^2) * 6
= (1/3) * 3.14 * 1 * 6
= 0.33 * 3.14 * 6
= 6.28 cubic centimeters
Therefore, the volume of chocolate needed to make a solid chocolate cone 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
6.28 cubic centimeters
6.28 cubic centimeters
18.84 cubic centimeters
18.84 cubic centimeters
12.56 cubic centimeters
5 answers
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
100.48 cubic meters
100.48 cubic meters
75.36 cubic meters
75.36 cubic meters
150.72 cubic meters
.(1 point)
Responses
25.12 cubic meters
25.12 cubic meters
100.48 cubic meters
100.48 cubic meters
75.36 cubic meters
75.36 cubic meters
150.72 cubic meters
The volume of a cone can be calculated using the formula V = (1/3)πr²h, where r is the radius of the base and h is the height of the cone.
In this case, the diameter of the cone is given as 4 meters, so the radius is half of that, which is 2 meters. The height is given as 6 meters.
Plugging these values into the formula, we get:
V = (1/3) * 3.14 * (2^2) * 6
= (1/3) * 3.14 * 4 * 6
= 0.33 * 3.14 * 4 * 6
= 25.12 cubic meters
Therefore, the volume of sand needed to fill the sandcastle mold is 25.12 cubic meters.
In this case, the diameter of the cone is given as 4 meters, so the radius is half of that, which is 2 meters. The height is given as 6 meters.
Plugging these values into the formula, we get:
V = (1/3) * 3.14 * (2^2) * 6
= (1/3) * 3.14 * 4 * 6
= 0.33 * 3.14 * 4 * 6
= 25.12 cubic meters
Therefore, the volume of sand needed to fill the sandcastle mold is 25.12 cubic meters.
A hanging flower vase is in the shape of a cone with a radius of 5 inches and a height of 15 inches. What volume of water can the flower vase hold? Use 3.14 for π
.(1 point)
Responses
1,177.5 cubic inches
1,177.5 cubic inches
1,570 cubic inches
1,570 cubic inches
78.5 cubic inches
78.5 cubic inches
392.5 cubic inches
.(1 point)
Responses
1,177.5 cubic inches
1,177.5 cubic inches
1,570 cubic inches
1,570 cubic inches
78.5 cubic inches
78.5 cubic inches
392.5 cubic inches
The volume of a cone can be calculated using the formula V = (1/3)πr²h, where r is the radius of the base and h is the height of the cone.
In this case, the radius of the flower vase is given as 5 inches, and the height is given as 15 inches.
Plugging these values into the formula, we get:
V = (1/3) * 3.14 * (5^2) * 15
= (1/3) * 3.14 * 25 * 15
= 0.33 * 3.14 * 25 * 15
= 1,177.5 cubic inches
Therefore, the hanging flower vase can hold 1,177.5 cubic inches of water.
In this case, the radius of the flower vase is given as 5 inches, and the height is given as 15 inches.
Plugging these values into the formula, we get:
V = (1/3) * 3.14 * (5^2) * 15
= (1/3) * 3.14 * 25 * 15
= 0.33 * 3.14 * 25 * 15
= 1,177.5 cubic inches
Therefore, the hanging flower vase can hold 1,177.5 cubic inches of water.
1 answer