What is the volume of a cone with a diameter of 5in and a height of 9in? Use 3.14 for pi. (1 point) Responses
235.5 cubic inches 235.5 cubic inches
47.1 cubic inches 47.1 cubic inches
423.9 cubic inches 423.9 cubic inches
942 cubic inches
7 answers
47.1 cubic inches
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 6.28 cubic centimeters 6.28 cubic centimeters 18.84 cubic centimeters 18.84 cubic centimeters 12.56 cubic centimeters 12.56 cubic centimeters 37.68 cubic centimeters
12.56 cubic centimeters
To calculate the volume of a cone, you use the formula 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 1 cm (radius = diameter/2).
Now, plug in the values:
V = (1/3) * 3.14 * 1^2 * 6
V = (1/3) * 3.14 * 1 * 6
V = 3.14 * 6 / 3
V = 18.84 / 3
V = 6.28 cubic centimeters
Therefore, the volume of chocolate needed to make a solid chocolate cone is 6.28 cubic centimeters.
To calculate the volume of a cone, you use the formula 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 1 cm (radius = diameter/2).
Now, plug in the values:
V = (1/3) * 3.14 * 1^2 * 6
V = (1/3) * 3.14 * 1 * 6
V = 3.14 * 6 / 3
V = 18.84 / 3
V = 6.28 cubic centimeters
Therefore, the volume of chocolate needed to make a solid chocolate cone is 6.28 cubic centimeters.
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 100.48 cubic meters 100.48 cubic meters 75.36 cubic meters 75.36 cubic meters 150.72 cubic meters 150.72 cubic meters
25.12 cubic meters
To calculate the volume of a cone, you use the formula V = (1/3)πr^2h, where r is the radius and h is the height.
Given that the diameter is 4 meters, the radius would be 2 meters (radius = diameter/2).
Now, plug in the values:
V = (1/3) * 3.14 * 2^2 * 6
V = (1/3) * 3.14 * 4 * 6
V = 3.14 * 4 * 2
V = 25.12 cubic meters
Therefore, the volume of sand needed to fill the mold is 25.12 cubic meters.
To calculate the volume of a cone, you use the formula V = (1/3)πr^2h, where r is the radius and h is the height.
Given that the diameter is 4 meters, the radius would be 2 meters (radius = diameter/2).
Now, plug in the values:
V = (1/3) * 3.14 * 2^2 * 6
V = (1/3) * 3.14 * 4 * 6
V = 3.14 * 4 * 2
V = 25.12 cubic meters
Therefore, the volume of sand needed to fill the 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 78.5 cubic inches 78.5 cubic inches 1,177.5 cubic inches 1,177.5 cubic inches 1,570 cubic inches 1,570 cubic inches 392.5 cubic inches
392.5 cubic inches
To calculate the volume of a cone, you use the formula V = (1/3)πr^2h, where r is the radius and h is the height.
Given that the radius is 5 inches and the height is 15 inches, plug in these values into the formula:
V = (1/3) * 3.14 * 5^2 * 15
V = (1/3) * 3.14 * 25 * 15
V = 3.14 * 25 * 5
V = 392.5 cubic inches
Therefore, the hanging flower vase can hold 392.5 cubic inches of water.
To calculate the volume of a cone, you use the formula V = (1/3)πr^2h, where r is the radius and h is the height.
Given that the radius is 5 inches and the height is 15 inches, plug in these values into the formula:
V = (1/3) * 3.14 * 5^2 * 15
V = (1/3) * 3.14 * 25 * 15
V = 3.14 * 25 * 5
V = 392.5 cubic inches
Therefore, the hanging flower vase can hold 392.5 cubic inches of water.