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
314 cubic centimeters
314 cubic centimeters
6,280 cubic centimeters
6,280 cubic centimeters
1,570 cubic centimeters
1,570 cubic centimeters
2,355 cubic centimeters
To find the volume of a cone, you can use the formula V = (1/3)πr^2h, where r is the radius and h is the height.
The diameter of the cone is 20 cm, so the radius (r) is half of that, which is 10 cm.
The height (h) of the cone is 15 cm.
Using the formula, the volume (V) is calculated as:
V = (1/3)π(10 cm)^2(15 cm)
V = (1/3)π(100 cm^2)(15 cm)
= (1/3)(3.14)(10,000 cm^2)(15 cm)
= (1/3)(3.14)(150,000 cm^3)
≈ 1570 cm^3
Therefore, the volume of the cone is approximately 1570 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
6.28 cubic centimeters
6.28 cubic centimeters
37.68 cubic centimeters
37.68 cubic centimeters
18.84 cubic centimeters
18.84 cubic centimeters
12.56 cubic centimeters
To find the volume of a cone, you can use the formula V = (1/3)πr^2h, where r is the radius and h is the height.
The diameter of the cone is 2 cm, so the radius (r) is half of that, which is 1 cm.
The height (h) of the cone is 6 cm.
Using the formula, the volume (V) is calculated as:
V = (1/3)π(1 cm)^2(6 cm)
V = (1/3)π(1 cm^2)(6 cm)
= (1/3)(3.14)(1 cm^2)(6 cm)
= (1/3)(3.14)(6 cm^3)
≈ 6.28 cm^3
Therefore, the volume of chocolate needed to make a solid chocolate cone is approximately 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
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
To find the volume of a cone, you can use the formula V = (1/3)πr^2h, where r is the radius and h is the height.
The diameter of the cone is 4 meters, so the radius (r) is half of that, which is 2 meters.
The height (h) of the cone is 6 meters.
Using the formula, the volume (V) is calculated as:
V = (1/3)π(2 meters)^2(6 meters)
V = (1/3)π(4 meters)^2(6 meters)
= (1/3)(3.14)(4 meters^2)(6 meters)
= (1/3)(3.14)(24 meters^3)
≈ 75.36 meters^3
Therefore, the volume of sand needed to fill the mold is approximately 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
392.5 cubic inches
392.5 cubic inches
1,177.5 cubic inches
1,177.5 cubic inches
1,570 cubic inches
1,570 cubic inches
78.5 cubic inches
To find the volume of a cone, you can use the formula V = (1/3)πr^2h, where r is the radius and h is the height.
The radius (r) of the cone is 5 inches.
The height (h) of the cone is 15 inches.
Using the formula, the volume (V) is calculated as:
V = (1/3)π(5 inches)^2(15 inches)
V = (1/3)π(25 inches^2)(15 inches)
= (1/3)(3.14)(625 inches^3)(15 inches)
≈ 1,177.5 inches^3
Therefore, the flower vase can hold approximately 1,177.5 cubic inches of water.