To calculate the volume of a cone, you can use the formula V = (1/3)πr²h, where V is the volume, π is the mathematical constant pi (approximately 3.14), r is the radius of the base, and h is the height of the cone.
In this case, the base radius is given as 9 inches and the height is given as 5 inches. Plug these values into the formula:
V = (1/3)π(9²)(5)
V = (1/3)(3.14)(81)(5)
V ≈ 423.9 cubic inches
Therefore, the volume of the cone is approximately 423.9 cubic inches.
Volume of Cones Quick Check
2 of 52 of 5 Items
Question
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
47.1 cubic inches
47.1 cubic inches
423.9 cubic inches
423.9 cubic inches
942 cubic inches
942 cubic inches
235.5 cubic inches
11 answers
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
18.84 cubic centimeters
18.84 cubic centimeters
37.68 cubic centimeters
37.68 cubic centimeters
6.28 cubic centimeters
.(1 point)
Responses
12.56 cubic centimeters
12.56 cubic centimeters
18.84 cubic centimeters
18.84 cubic centimeters
37.68 cubic centimeters
37.68 cubic centimeters
6.28 cubic centimeters
To calculate the volume of a cone, you can use the formula V = (1/3)πr²h, where V is the volume, π is the mathematical constant pi (approximately 3.14), r is the radius (which is half the diameter), and h is the height of the cone.
In this case, the diameter is given as 2 cm, so the radius is 1 cm. The height is given as 6 cm. Plug these values into the formula:
V = (1/3)π(1²)(6)
V = (1/3)(3.14)(1)(6)
V ≈ 6.28 cubic centimeters
Therefore, the volume of chocolate needed to make a solid chocolate cone is approximately 6.28 cubic centimeters.
In this case, the diameter is given as 2 cm, so the radius is 1 cm. The height is given as 6 cm. Plug these values into the formula:
V = (1/3)π(1²)(6)
V = (1/3)(3.14)(1)(6)
V ≈ 6.28 cubic centimeters
Therefore, the volume of chocolate needed to make a solid chocolate cone is approximately 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
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
To calculate the volume of a cone, you can use the formula V = (1/3)πr²h, where V is the volume, π is the mathematical constant pi (approximately 3.14), r is the radius (which is half the diameter), and h is the height of the cone.
In this case, the diameter is given as 4 meters, so the radius is 2 meters. The height is given as 6 meters. Plug these values into the formula:
V = (1/3)π(2²)(6)
V = (1/3)(3.14)(4)(6)
V ≈ 100.48 cubic meters
Therefore, the volume of sand needed to fill the mold is approximately 100.48 cubic meters.
In this case, the diameter is given as 4 meters, so the radius is 2 meters. The height is given as 6 meters. Plug these values into the formula:
V = (1/3)π(2²)(6)
V = (1/3)(3.14)(4)(6)
V ≈ 100.48 cubic meters
Therefore, the volume of sand needed to fill the mold is approximately 100.48 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
1,570 cubic inches
1,570 cubic inches
392.5 cubic inches
392.5 cubic inches
1,177.5 cubic inches
1,177.5 cubic inches
78.5 cubic inches
.(1 point)
Responses
1,570 cubic inches
1,570 cubic inches
392.5 cubic inches
392.5 cubic inches
1,177.5 cubic inches
1,177.5 cubic inches
78.5 cubic inches
To calculate the volume of a cone, you can use the formula V = (1/3)πr²h, where V is the volume, π is the mathematical constant pi (approximately 3.14), r is the radius, and h is the height of the cone.
In this case, the radius is given as 5 inches and the height is given as 15 inches. Plug these values into the formula:
V = (1/3)π(5²)(15)
V = (1/3)(3.14)(25)(15)
V ≈ 1,177.5 cubic inches
Therefore, the flower vase can hold approximately 1,177.5 cubic inches of water.
In this case, the radius is given as 5 inches and the height is given as 15 inches. Plug these values into the formula:
V = (1/3)π(5²)(15)
V = (1/3)(3.14)(25)(15)
V ≈ 1,177.5 cubic inches
Therefore, the flower vase can hold approximately 1,177.5 cubic inches of water.
wrong
Apologies for the mistake. Let's recalculate the volume of the flower vase.
The radius of the flower vase is given as 5 inches, and the height is given as 15 inches.
Using the formula, V = (1/3)πr²h, we can plug in the values:
V = (1/3) * 3.14 * (5^2) * 15
V = (1/3) * 3.14 * 25 * 15
V = (1/3) * 3.14 * 375
V ≈ 392.5 cubic inches
Therefore, the flower vase can hold approximately 392.5 cubic inches of water.
The radius of the flower vase is given as 5 inches, and the height is given as 15 inches.
Using the formula, V = (1/3)πr²h, we can plug in the values:
V = (1/3) * 3.14 * (5^2) * 15
V = (1/3) * 3.14 * 25 * 15
V = (1/3) * 3.14 * 375
V ≈ 392.5 cubic inches
Therefore, the flower vase can hold approximately 392.5 cubic inches of water.
atleast you got this one right.. ty
You're welcome! I apologize for the previous mistake but I'm glad we got the correct answer this time. If you have any more questions, feel free to ask!