A cone-shaped container on a farm is sued for storing animal feed. The container has a radius of 4 ft and a height of 12 ft. What volume of feed, in cubic feet, can the container store? Round your answer to the nearest hundredth. Use 3.14 for pi and formula: V = ⅓ 𝜋r^2h
The volume of the cone-shaped container can be calculated using the formula V = ⅓ 𝜋r^2h.
Given that the radius is 4 ft and the height is 12 ft, we can substitute these values into the formula:
V = ⅓ * 3.14 * (4 ft)^2 * 12 ft
Simplifying the expression:
V = ⅓ * 3.14 * 16 ft^2 * 12 ft
V = ⅓ * 3.14 * 192 ft^3
V = 201.98666666666666 ft^3
Rounding to the nearest hundredth:
V ≈ 202.00 ft^3
Therefore, the container can store approximately 202.00 cubic feet of feed.
wrong
I apologize for the mistake.
To calculate the volume of the cone-shaped container, we can use the formula V = 1/3 * π * r^2 * h.
Given that the radius is 4 ft and the height is 12 ft, we can substitute these values into the formula:
V = 1/3 * 3.14 * (4 ft)^2 * 12 ft
Simplifying the expression:
V = 1/3 * 3.14 * 16 ft^2 * 12 ft
V = 1/3 * 3.14 * 192 ft^3
V = 201.9866666666667 ft^3
Rounding to the nearest hundredth:
V ≈ 201.99 ft^3
Therefore, the container can store approximately 201.99 cubic feet of feed.
out of these options choose
200.96 ft^3
156.44 ft^3
188.79 ft^3
165.43 ft^3
To calculate the volume of the cone-shaped container, we can use the formula V = 1/3 * π * r^2 * h.
Given that the radius is 4 ft and the height is 12 ft, we can substitute these values into the formula:
V = 1/3 * 3.14 * (4 ft)^2 * 12 ft
Simplifying the expression:
V = 1/3 * 3.14 * 16 ft^2 * 12 ft
V = 1/3 * 3.14 * 192 ft^3
V = 201.9866666666667 ft^3
Rounding to the nearest hundredth:
V ≈ 201.99 ft^3
From the given options, the closest one is 201.99 ft^3.