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 . (1 point)
1) 1,570 cubic centimeters
2) 235.5 cubic inches
3) 6.28 cubic centimeters
4) 25.12 cubic meters
5) 392.5 cubic meters
These are the answers for the Volume of Cones Quick Check.
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.
Given that the diameter of the cone is 2 cm, the radius would be half of that, or 1 cm. The height of the cone is 6 cm.
Plugging these values into the formula, we have:
V = (1/3)(3.14)(1^2)(6)
= (1/3)(3.14)(1)(6)
= (3.14)(2)
= 6.28 cm^3
Therefore, the volume of chocolate needed to make the solid chocolate cone is 6.28 cubic centimeters.
To find the volume of sand needed to fill the mold, we can use the same formula: V = (1/3)πr^2h, where r is the radius of the base and h is the height.
Given that the diameter of the cone is 4 meters, the radius would be half of that, or 2 meters. The height of the cone is 6 meters.
Plugging these values into the formula, we have:
V = (1/3)(3.14)(2^2)(6)
= (1/3)(3.14)(4)(6)
= (3.14)(8)
= 25.12 m^3
Therefore, the volume of sand needed to fill the mold is 25.12 cubic meters.
O 78.5 cubic inches
O 1,570 cubic inches
O 1,177.5 cubic inches
O 392.5 cubic inches
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 7. (1 point)
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 m. (1 point)
To find the volume of water that the flower vase can hold, we can use the formula for the volume of a cone: V = (1/3)πr^2h, where r is the radius of the base and h is the height.
Given that the radius of the cone is 5 inches and the height is 15 inches, we can plug these values into the formula:
V = (1/3)(3.14)(5^2)(15)
= (1/3)(3.14)(25)(15)
= (3.14)(125)(5)
= 1962.5 in^3
Therefore, the flower vase can hold 1962.5 cubic inches of water.
Apologies for the previous incorrect response.
To find the volume of water that the flower vase can hold, we can use the formula for the volume of a cone: V = (1/3)πr^2h.
Given that the radius of the cone is 5 inches and the height is 15 inches, we can plug these values into the formula:
V = (1/3)(3.14)(5^2)(15)
= (1/3)(3.14)(25)(15)
= (3.14)(375)
= 1,177.5 cubic inches
Therefore, the flower vase can hold 1,177.5 cubic inches of water.