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 pi
The volume of a cone can be calculated using the formula:
V = (1/3) * π * r^2 * h
where V is the volume, π is approximately 3.14, r is the radius, and h is the height.
Substituting the given values into the formula:
V = (1/3) * 3.14 * 3^2 * 7
V = (1/3) * 3.14 * 9 * 7
V = (1/3) * 3.14 * 63
V = 20.94
The volume of coffee grounds the container can hold is approximately 20.94 cubic inches.
Wrong,
Apologies for the mistake. Let's calculate the volume correctly.
Using the formula for the volume of a cone:
V = (1/3) * π * r^2 * h
Substituting the given values:
V = (1/3) * 3.14 * (3^2) * 7
V = (1/3) * 3.14 * 9 * 7
V = (1/3) * 3.14 * 63
V = 65.974
Rounded to the nearest hundredth, the volume of coffee grounds the container can hold is approximately 65.97 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
To find the volume of the water tank, we can use the formula for the volume of a cone:
V = (1/3) * π * r^2 * h
where V is the volume, π is approximately 3.14, r is the radius (half the diameter), and h is the height.
Given that the diameter is 12 feet, the radius is 12/2 = 6 feet, and the height is 15 feet.
Substituting these values into the formula:
V = (1/3) * 3.14 * (6^2) * 15
V = (1/3) * 3.14 * 36 * 15
V = (1/3) * 3.14 * 540
V = 565.24
The volume of water the tank can hold is approximately 565.24 cubic feet.
What is the volume of a cone with a diameter of 20 cm and a height of 15 cm?
To find the volume of a cone, we can use the formula: V = (1/3) * π * r^2 * h, where V is the volume, π is approximately 3.14, r is the radius (half the diameter), and h is the height.
Given a diameter of 20 cm, the radius is 10 cm, and the height is 15 cm.
Substituting these values into the formula:
V = (1/3) * 3.14 * (10^2) * 15
V = (1/3) * 3.14 * 100 * 15
V = (1/3) * 3.14 * 1500
V = 1570 cm³
Therefore, the volume of the cone is 1570 cubic centimeters.
What is the volume of the cone?
height- 9
Diameter - 10
To find the volume of a cone, we can use the formula: V = (1/3) * π * r^2 * h, where V is the volume, π is approximately 3.14, r is the radius (half the diameter), and h is the height.
Given a diameter of 10 (which means a radius of 5) and a height of 9, we can substitute these values into the formula:
V = (1/3) * 3.14 * (5^2) * 9
V = (1/3) * 3.14 * 25 * 9
V = (1/3) * 3.14 * 225
V = 235.62
Therefore, the volume of the cone is approximately 235.62 cubic units.