Question

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

Answer 1

wrong

Answer 2

out of these options choose
200.96 ft^3
156.44 ft^3
188.79 ft^3
165.43 ft^3

Answer 3

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.

Answer 4

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.

Answer 5

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.