To find the volume of the windmill's tower, we need to use the formula for the volume of a right circular cylinder, which is given by:

$$ V = \pi r^2 h $$

where:
- $ V $ is the volume,
- $ r $ is the radius of the base of the cylinder,
- $ h $ is the height of the cylinder.

From the problem, we know:
- The height $ h $ of the tower is 262 feet.
- The diameter of the base of the tower is 40 feet, so the radius $ r $ is half of the diameter, which is $ \frac{40}{2} = 20 $ feet.

Now, we can plug these values into the formula:

$$ V = \pi (20)^2 (262) $$

First, calculate the radius squared:

$$ 20^2 = 400 $$

Next, multiply by the height:

$$ 400 \times 262 = 104800 $$

Finally, multiply by $ \pi $:

$$ V = 104800 \pi $$

Using the approximation $ \pi \approx 3.14159 $:

$$ V \approx 104800 \times 3.14159 $$
$$ V \approx 329,867.432 $$

Therefore, the volume of the windmill’s tower is closest to 329,867 cubic feet.

Question

To find the volume of the windmill's tower, we need to use the formula for the volume of a right circular cylinder, which is given by:

$$ V = \pi r^2 h $$

where:
- $ V $ is the volume,
- $ r $ is the radius of the base of the cylinder,
- $ h $ is the height of the cylinder.

From the problem, we know:
- The height $ h $ of the tower is 262 feet.
- The diameter of the base of the tower is 40 feet, so the radius $ r $ is half of the diameter, which is $ \frac{40}{2} = 20 $ feet.

Now, we can plug these values into the formula:

$$ V = \pi (20)^2 (262) $$

First, calculate the radius squared:

$$ 20^2 = 400 $$

Next, multiply by the height:

$$ 400 \times 262 = 104800 $$

Finally, multiply by $ \pi $:

$$ V = 104800 \pi $$

Using the approximation $ \pi \approx 3.14159 $:

$$ V \approx 104800 \times 3.14159 $$
$$ V \approx 329,867.432 $$

Therefore, the volume of the windmill’s tower is closest to 329,867 cubic feet.

Knowee AI · Accepted Answer