What is the volume, in cubic millimeters, of the cone? Round your answer to the nearest hundredth.(1 point)
Height = 12
Diameter = 14
A coffee maker has a cone-shaped container to hold the coffee grounds. The radius of the container is 3 inches and the height is 7 inches. What is the volume, in cubic inches, of coffee grounds the container can hold? Round your answer to the nearest hundredth and use 3.14 for π
.(1 point)
The volume of the container can be found using the formula for the volume of a cone:
Volume = (1/3) * π * radius^2 * height
Substituting the given values:
Volume = (1/3) * 3.14 * 3^2 * 7
Volume = (1/3) * 3.14 * 9 * 7
Volume = 3.14 * 9/3 * 7
Volume = 3.14 * 3 * 7
Volume = 65.94 cubic inches
Rounded to the nearest hundredth, the volume is approximately 65.94 cubic inches.
A water tank in the shape of a cone has a diameter of 12 feet and a height of 15 feet. What volume of water, in cubic feet, can the tank hold? Round your answer to the nearest tenth and use 3.14 for π
.(1 point)
The radius of the cone can be found by dividing the diameter by 2:
Radius = 12/2 = 6 feet.
The volume of a cone can be found using the formula:
Volume = 1/3 * π * radius^2 * height.
Substituting the given values:
Volume = 1/3 * 3.14 * 6^2 * 15 = 1/3 * 3.14 * 36 * 15 = 565.2 cubic feet.
Rounded to the nearest tenth, the volume is approximately 565.2 cubic feet.
What is the volume of a cone with a diameter of 20 cm and a height of 15 cm? (1 point)
Responses
1,570 cubic centimeters
1,570 cubic centimeters
314 cubic centimeters
314 cubic centimeters
2,355 cubic centimeters
2,355 cubic centimeters
6,280 cubic centimeters
The radius of the cone can be found by dividing the diameter by 2:
Radius = 20/2 = 10 cm.
The volume of a cone can be found using the formula:
Volume = 1/3 * π * radius^2 * height.
Substituting the given values:
Volume = 1/3 * 3.14 * 10^2 * 15 = 1/3 * 3.14 * 100 * 15 = 1/3 * 3.14 * 1500 = 1570 cubic centimeters.
Therefore, the volume of the cone is 1,570 cubic centimeters.
What is the volume of the cone?
(1 point)
Responses
235.5 cubic inches
235.5 cubic inches
942 cubic inches
942 cubic inches
423.9 cubic inches
423.9 cubic inches
47.1 cubic inches
To calculate the volume of a cone, you can use the formula:
Volume = (1/3) * π * radius^2 * height
However, the question does not provide the values for the radius and height of the cone. Please provide those values so I can help you calculate the volume.
To find the volume of a cone, you can use the formula:
Volume = (1/3) * π * r^2 * h
Given that the height of the cone is 12 and the diameter is 14, we can calculate the radius (r) of the cone.
Radius (r) = Diameter / 2
= 14 / 2
= 7
Substituting the values into the formula, we get:
Volume = (1/3) * π * (7^2) * 12
Calculating this expression:
Volume = (1/3) * 3.14 * 49 * 12
= 3.14 * 49 * 4
≈ 610.56
Therefore, the volume of the cone is approximately 610.56 cubic millimeters when rounded to the nearest hundredth.
The radius of the cone can be found by dividing the diameter by 2:
Radius = 14/2 = 7 mm
The volume of a cone can be found using the formula:
Volume = (1/3) * π * radius^2 * height
Volume = (1/3) * 3.14 * 7^2 * 12
Volume = 1231.2 cubic millimeters
Rounded to the nearest hundredth, the volume is approximately 1231.20 cubic millimeters.