Find the volume of a cylinder with a height of 12 inches and a diameter of 8 inches. Use 3.14 for pi.(1 point) Responses 1,808.64 cubic inches 1,808.64 cubic inches 150.72 cubic inches 150.72 cubic inches 2,411.52 cubic inches 2,411.52 cubic inches 602.88 cubic inches

Answer 1

To find the volume of a cylinder, you can use the formula:

\[ V = \pi r^2 h \]

where \(V\) is the volume, \(r\) is the radius, and \(h\) is the height of the cylinder.

1. First, you need to find the radius. The diameter of the cylinder is 8 inches, so the radius \(r\) is half of the diameter:

\[ r = \frac{diameter}{2} = \frac{8}{2} = 4 \text{ inches} \]

2. Now, plug the radius and height into the volume formula. The height \(h\) is given as 12 inches, and we will use \(\pi \approx 3.14\):

\[ V = 3.14 \times (4)^2 \times 12 \]

3. Calculate \(r^2\):

\[ r^2 = 4^2 = 16 \]

4. Now plug this back into the volume formula:

\[ V = 3.14 \times 16 \times 12 \]

5. Calculate \(16 \times 12\):

\[ 16 \times 12 = 192 \]

6. Finally calculate the volume:

\[ V = 3.14 \times 192 = 602.88 \text{ cubic inches} \]

So, the volume of the cylinder is 602.88 cubic inches.