What is the volume of a cone with a diameter of 20 cm and a height of 15 cm? Use 3.14 for pi.(1 point)
Responses
1,570 cubic centimeters
1,570 cubic centimeters
6,280 cubic centimeters
6,280 cubic centimeters
2,355 cubic centimeters
2,355 cubic centimeters
314 cubic centimeters
The volume of a cone can be calculated using the formula V = (1/3)πr^2h, where r is the radius of the base and h is the height.
Since the diameter of the cone is given, we can find the radius by dividing the diameter by 2:
r = 20 cm / 2 = 10 cm
Now we can substitute the values into the formula and calculate the volume:
V = (1/3) * 3.14 * 10^2 * 15
V ≈ 1,570 cubic centimeters
Therefore, the correct answer is 1,570 cubic centimeters.
Use the image to answer the question.
An oblique cone shows a base radius of 9 inches. The perpendicular height is 5 inches from the apex to the base outside the cone. A right angle is formed outside the cone to the right. A dashed diagonal line connects the center of the circular base to the apex.
What is the volume of the cone? Use 3.14 for pi.
(1 point)
Responses
423.9 cubic inches
423.9 cubic inches
942 cubic inches
942 cubic inches
235.5 cubic inches
235.5 cubic inches
47.1 cubic inches
47.1 cubic inches
To find the volume of the cone, we can use the formula V = (1/3)πr^2h, where r is the radius of the base and h is the height.
In this case, the base radius is given as 9 inches.
The height is given as the perpendicular height from the apex to the base outside the cone, which is 5 inches.
Now we can substitute the values into the formula and calculate the volume:
V = (1/3) * 3.14 * 9^2 * 5
V ≈ 423.9 cubic inches
Therefore, the correct answer is 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
37.68 cubic centimeters
37.68 cubic centimeters
12.56 cubic centimeters
12.56 cubic centimeters
18.84 cubic centimeters
18.84 cubic centimeters
6.28 cubic centimeters
The volume of a cone can be calculated using the formula V = (1/3)πr^2h, where r is the radius of the base and h is the height.
In this case, the diameter of the cone is given as 2 cm. To find the radius, we can divide the diameter by 2:
r = 2 cm / 2 = 1 cm
The height of the cone is given as 6 cm.
Now we can substitute the values into the formula and calculate the volume:
V = (1/3) * 3.14 * 1^2 * 6
V ≈ 12.56 cubic centimeters
Therefore, the correct answer is 12.56 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
75.36 cubic meters
75.36 cubic meters
100.48 cubic meters
100.48 cubic meters
25.12 cubic meters
25.12 cubic meters
150.72 cubic meters
150.72 cubic meters
The volume of a cone can be calculated using the formula V = (1/3)πr^2h, where r is the radius of the base and h is the height.
In this case, the diameter of the cone is given as 4 meters. To find the radius, we can divide the diameter by 2:
r = 4 m / 2 = 2 m
The height of the cone is given as 6 meters.
Now we can substitute the values into the formula and calculate the volume:
V = (1/3) * 3.14 * 2^2 * 6
V ≈ 75.36 cubic meters
Therefore, the correct answer is 75.36 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
78.5 cubic inches
78.5 cubic inches
1,570 cubic inches
1,570 cubic inches
392.5 cubic inches
The volume of a cone can be calculated using the formula V = (1/3)πr^2h, where r is the radius of the base and h is the height.
In this case, the radius of the cone is given as 5 inches.
The height of the cone is given as 15 inches.
Now we can substitute the values into the formula and calculate the volume:
V = (1/3) * 3.14 * 5^2 * 15
V ≈ 1,177.5 cubic inches
Therefore, the correct answer is 1,177.5 cubic inches.