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)

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,
• \( h \) is the height,
• \( \pi \) is approximately 3.14.

First, we need to determine the radius of the cylinder from the diameter. The diameter is 8 inches, so the radius \( r \) is:

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

Next, plug the values into the volume formula:

\[ V = 3.14 \times (4)^2 \times 12 \] \[ V = 3.14 \times 16 \times 12 \] \[ V = 3.14 \times 192 \]

Now, calculate \( 3.14 \times 192 \):

\[ V = 602.88 \text{ cubic inches} \]

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

So the correct response is:

602.88 cubic inches.

Use the image to answer the question.

A 3 D oblique cylinder shows a length of 8 centimeters and perpendicular height of 6 centimeters. The base radius is 3 centimeters.

Find the volume of the cylinder.- Use 3.14 for pi.

(1 point)
Responses

226.08 cubic centimeters
226.08 cubic centimeters

339.12 cubic centimeters
339.12 cubic centimeters

678.24 cubic centimeters
678.24 cubic centimeters

169.56 cubic centimeters
169.56 cubic centimeters
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To find the volume of a cylinder, we can use the formula:

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

where:

• \( V \) is the volume,
• \( r \) is the radius of the base,
• \( h \) is the height of the cylinder,
• \( \pi \) is approximately 3.14.

In this case, the base radius \( r \) is 3 centimeters, and the perpendicular height \( h \) is 6 centimeters. Let's plug in the values:

\[ V = 3.14 \times (3)^2 \times 6 \] \[ V = 3.14 \times 9 \times 6 \] \[ V = 3.14 \times 54 \]

Now, let's calculate \( 3.14 \times 54 \):

\[ V = 169.56 \text{ cubic centimeters} \]

Therefore, the volume of the cylinder is 169.56 cubic centimeters.

So the correct response is:

169.56 cubic centimeters.

A jar of peanut butter has a height of 16 centimeters and a width of 10 centimeters. Find the volume of the peanut butter jar. Use 3.14 for pi.(1 point)
Responses

2,009.6 cubic centimeters
2,009.6 cubic centimeters

4,019.2 cubic centimeters
4,019.2 cubic centimeters

1,256 cubic centimeters
1,256 cubic centimeters

5,024 cubic centimeters
5,024 cubic centimeters

To find the volume of the peanut butter jar, we need to determine the shape of the jar. Assuming the jar is in the shape of a cylinder (which is a common shape for jars), we can use the following formula for the volume of a cylinder:

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

where:

• \( V \) is the volume,
• \( r \) is the radius of the base,
• \( h \) is the height of the cylinder,
• \( \pi \) is approximately 3.14.

From the information provided:

• The width of the jar is 10 centimeters, which implies the diameter. So the radius \( r \) is half of that: \[ r = \frac{10}{2} = 5 \text{ centimeters} \]

• The height \( h \) of the jar is 16 centimeters.

Now, let's substitute these values into the volume formula:

\[ V = 3.14 \times (5)^2 \times 16 \] \[ V = 3.14 \times 25 \times 16 \] \[ V = 3.14 \times 400 \]

Now calculate \( 3.14 \times 400 \):

\[ V = 1,256 \text{ cubic centimeters} \]

Therefore, the volume of the peanut butter jar is 1,256 cubic centimeters.

So the correct response is:

1,256 cubic centimeters.

A jar of salsa has a height of 6 inches and a radius of 2 inches. Find the volume of the salsa jar. Use 3.14 for pi.(1 point)
Responses

18.84 cubic inches
18.84 cubic inches

226.08 cubic inches
226.08 cubic inches

75.36 cubic inches
75.36 cubic inches

56.52 cubic inches

To find the volume of the salsa jar, which is assumed to have the shape of a cylinder, we can use the formula for the volume of a cylinder:

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

where:

• \( V \) is the volume,
• \( r \) is the radius of the base,
• \( h \) is the height of the cylinder,
• \( \pi \) is approximately 3.14.

From the information provided:

• The radius \( r \) of the jar is 2 inches.
• The height \( h \) of the jar is 6 inches.

Now, let’s substitute these values into the volume formula:

\[ V = 3.14 \times (2)^2 \times 6 \] \[ V = 3.14 \times 4 \times 6 \] \[ V = 3.14 \times 24 \]

Now calculate \( 3.14 \times 24 \):

\[ V = 75.36 \text{ cubic inches} \]

Therefore, the volume of the salsa jar is 75.36 cubic inches.

So the correct response is:

75.36 cubic inches.

A water tower has a height of 25 meters and a width of 16 meters. What is the volume of the water tower? Use 3.14 for pi.(1 point)
Responses

5,024 cubic meters
5,024 cubic meters

20,096 cubic meters
20,096 cubic meters

7,850 cubic meters
7,850 cubic meters

15,700 cubic meters

To calculate the volume of the water tower, we need to assume that the tower has the shape of a cylinder. The formula for the volume \( V \) of a cylinder is given by:

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

where:

• \( V \) is the volume,
• \( r \) is the radius of the base,
• \( h \) is the height of the cylinder,
• \( \pi \) is approximately 3.14.

From the information provided:

• The width of the water tower is 16 meters, which means the diameter is 16 meters. The radius \( r \) will be half of the diameter:

\[ r = \frac{16}{2} = 8 \text{ meters} \]

• The height \( h \) of the water tower is 25 meters.

Now we can substitute these values into the volume formula:

\[ V = 3.14 \times (8)^2 \times 25 \] \[ V = 3.14 \times 64 \times 25 \] \[ V = 3.14 \times 1600 \]

Calculating \( 3.14 \times 1600 \):

\[ V = 5024 \text{ cubic meters} \]

Therefore, the volume of the water tower is 5,024 cubic meters.

So the correct response is:

5,024 cubic meters.