To solve this problem, we need to use the formula for the volume of a cylinder, which is V = πr²h. However, we are given the circumference, not the radius. We can find the radius using the formula C = πd or C = 2πr.

Here are the steps:

1. First, we need to find the diameter of the tree trunk. We can do this by rearranging the formula for circumference to solve for diameter: d = C/π. Substituting the given circumference of 4.5 feet, we get d = 4.5/π ≈ 1.43 feet.

2. Next, we find the radius by dividing the diameter by 2: r = d/2 = 1.43/2 ≈ 0.715 feet.

3. Now we can find the volume using the formula for the volume of a cylinder: V = πr²h = π*(0.715)²*15 ≈ 24.17 cubic feet.

So, the approximate volume of the tree trunk is 24.17 cubic feet, which corresponds to option D.

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To solve this problem, we need to use the formula for the volume of a cylinder, which is V = πr²h. However, we are given the circumference, not the radius. We can find the radius using the formula C = πd or C = 2πr.

Here are the steps:

1. First, we need to find the diameter of the tree trunk. We can do this by rearranging the formula for circumference to solve for diameter: d = C/π. Substituting the given circumference of 4.5 feet, we get d = 4.5/π ≈ 1.43 feet.

2. Next, we find the radius by dividing the diameter by 2: r = d/2 = 1.43/2 ≈ 0.715 feet.

3. Now we can find the volume using the formula for the volume of a cylinder: V = πr²h = π*(0.715)²*15 ≈ 24.17 cubic feet.

So, the approximate volume of the tree trunk is 24.17 cubic feet, which corresponds to option D.

Knowee AI · Accepted Answer

To solve this problem, we need to use the formula for the volume of a cylinder, which is V = πr²h. However, we are given the circumference, not the radius. We can find the radius using the formula C = πd or C = 2πr.

Here are the steps:

1. First, we need to find the diameter of the tree trunk. We can do this by rearranging the formula for circumference to solve for diameter: d = C/π. Substituting the given circumference of 4.5 feet, we get d = 4.5/π ≈ 1.43 feet.

2. Next, we find the radius by dividing the diameter by 2: r = d/2 = 1.43/2 ≈ 0.715 feet.

3. Now we can find the volume using the formula for the volume of a cylinder: V = πr²h = π*(0.715)²*15 ≈ 24.17 cubic feet.

So, the approximate volume of the tree trunk is 24.17 cubic feet, which corresponds to option D.

What is the approximate volume of a tree trunk if the trunk is 15 feet tall with a circumference of 4.5 feet?Recall that the circumference of a circle is equal to pi times its diameter.A.33.92 ft3B.23.33 ft3C.43.12 ft3D.24.17 ft3

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