What is the volume of a cone with a diameter of 20 cm and a height of 15 cm? (1 point)
Responses
6,280 cubic centimeters
6,280 cubic centimeters
2,355 cubic centimeters
2,355 cubic centimeters
1,570 cubic centimeters
1,570 cubic centimeters
314 cubic centimeters
314 cubic centimeters
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11 answers
The correct answer is 1,570 cubic centimeters.
What is the volume of the cone?
(1 point)
Responses
942 cubic inches
942 cubic inches
423.9 cubic inches
423.9 cubic inches
235.5 cubic inches
235.5 cubic inches
47.1 cubic inches
(1 point)
Responses
942 cubic inches
942 cubic inches
423.9 cubic inches
423.9 cubic inches
235.5 cubic inches
235.5 cubic inches
47.1 cubic inches
The correct answer is 942 cubic inches.
the height is 9 in and width is 5 in
To calculate the volume of a cone, you can use the formula V = (1/3) * pi * r² * h, where V is the volume, pi is approximately 3.14159, r is the radius, and h is the height.
Given that the width is 5 inches, we can calculate the radius as half of the width, so the radius is 2.5 inches.
Using the formula, the volume is:
V = (1/3) * 3.14159 * (2.5²) * 9
V = (1/3) * 3.14159 * 6.25 * 9
V = (1/3) * 3.14159 * 56.25
V = (1/3) * 176.715
V = 58.905 cubic inches
Therefore, the volume of the cone is approximately 58.905 cubic inches.
Given that the width is 5 inches, we can calculate the radius as half of the width, so the radius is 2.5 inches.
Using the formula, the volume is:
V = (1/3) * 3.14159 * (2.5²) * 9
V = (1/3) * 3.14159 * 6.25 * 9
V = (1/3) * 3.14159 * 56.25
V = (1/3) * 176.715
V = 58.905 cubic inches
Therefore, the volume of the cone is approximately 58.905 cubic inches.
out of thesWhat is the volume of the cone?
(1 point)
Responses
942 cubic inches
942 cubic inches
423.9 cubic inches
423.9 cubic inches
235.5 cubic inches
235.5 cubic inches
47.1 cubic inchese answrs
(1 point)
Responses
942 cubic inches
942 cubic inches
423.9 cubic inches
423.9 cubic inches
235.5 cubic inches
235.5 cubic inches
47.1 cubic inchese answrs
My apologies for the confusion. Based on the given answer options, the closest answer to the calculated volume of 58.905 cubic inches would be 423.9 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
12.56 cubic centimeters
12.56 cubic centimeters
6.28 cubic centimeters
6.28 cubic centimeters
18.84 cubic centimeters
18.84 cubic centimeters
37.68 cubic centimeters
37.68 cubic centimeters
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.(1 point)
Responses
12.56 cubic centimeters
12.56 cubic centimeters
6.28 cubic centimeters
6.28 cubic centimeters
18.84 cubic centimeters
18.84 cubic centimeters
37.68 cubic centimeters
37.68 cubic centimeters
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page 16 of 16
To calculate the volume of the cone, you can use the formula V = (1/3) * π * r² * h, where V is the volume, π is approximately 3.14, r is the radius (half of the diameter), and h is the height.
Given that the diameter is 2 cm, the radius is 1 cm.
Using the formula, the volume is:
V = (1/3) * 3.14 * (1²) * 6
V = (1/3) * 3.14 * 1 * 6
V = (1/3) * 3.14 * 6
V = (1/3) * 18.84
V = 6.28 cubic centimeters
Therefore, the volume of chocolate needed to make the solid chocolate cone is 6.28 cubic centimeters.
Given that the diameter is 2 cm, the radius is 1 cm.
Using the formula, the volume is:
V = (1/3) * 3.14 * (1²) * 6
V = (1/3) * 3.14 * 1 * 6
V = (1/3) * 3.14 * 6
V = (1/3) * 18.84
V = 6.28 cubic centimeters
Therefore, the volume of chocolate needed to make the solid chocolate cone is 6.28 cubic centimeters.
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
100.48 cubic meters
100.48 cubic meters
75.36 cubic meters
75.36 cubic meters
25.12 cubic meter
.(1 point)
Responses
150.72 cubic meters
150.72 cubic meters
100.48 cubic meters
100.48 cubic meters
75.36 cubic meters
75.36 cubic meters
25.12 cubic meter
To calculate the volume of the cone, you can use the formula V = (1/3) * π * r² * h, where V is the volume, π is approximately 3.14, r is the radius (half of the diameter), and h is the height.
Given that the diameter is 4 meters, the radius is 2 meters.
Using the formula, the volume is:
V = (1/3) * 3.14 * (2²) * 6
V = (1/3) * 3.14 * 4 * 6
V = (1/3) * 3.14 * 24
V = (1/3) * 75.36
V = 25.12 cubic meters
Therefore, the volume of sand needed to fill the mold is 25.12 cubic meters.
Given that the diameter is 4 meters, the radius is 2 meters.
Using the formula, the volume is:
V = (1/3) * 3.14 * (2²) * 6
V = (1/3) * 3.14 * 4 * 6
V = (1/3) * 3.14 * 24
V = (1/3) * 75.36
V = 25.12 cubic meters
Therefore, the volume of sand needed to fill the mold is 25.12 cubic meters.
3 answers