find the volume of a cylinder with a heigh of 12 inches and a diameter of 8 inches. Use 3.14 for pi.

Question

2,411.52 cubic inches

150.72 cubic inches

602.88 cubic inches

1,808.64 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,
• \( h \) is the height,
• \( \pi \) is approximately 3.14.

First, we need to find the radius. The diameter is given as 8 inches, so the radius \( r \) is half of the diameter:

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

Now, we can plug the radius and height into the volume formula. The height \( h \) is given as 12 inches:

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

Calculating \( (4)^2 \):

\[ (4)^2 = 16 \]

Now substitute that back into the formula:

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

Calculating \( 16 \times 12 \):

\[ 16 \times 12 = 192 \]

Now calculate the volume:

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

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

The correct choice is: 602.88 cubic inches.

Answer 2

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

226.08 cubic centimeters

339.12 cubic centimeters

678.24 cubic centimeters

169.56 cubic centimeters

Answer 3

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 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.

Now, plug the values into the formula:

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

Calculating \( (3)^2 \):

\[ (3)^2 = 9 \]

Now substitute that back into the formula:

\[ V = 3.14 \times 9 \times 6 \]

Calculating \( 9 \times 6 \):

\[ 9 \times 6 = 54 \]

Now calculate the volume:

\[ V = 3.14 \times 54 \]

Calculating \( 3.14 \times 54 \):

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

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

The correct choice is: 169.56 cubic centimeters.

Answer 4

a jar of peanut butter has a heigh of 16 centimeters and a width of 10 centimeters. Find the volume of the peanut butter jar. Use 3.14 for pi.

1,256 cubic centimeters

5,024 cubic centimeters

2,009.6 cubic centimeters

4,019.2 cubic centimeters

Answer 5

To find the volume of the peanut butter jar, which is assumed to be in the shape 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.

The width of the jar is given as 10 centimeters, which means the diameter is 10 cm. Therefore, the radius \( r \) is half of the diameter:

\[ r = \frac{diameter}{2} = \frac{10}{2} = 5 \text{ centimeters} \]

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

Now we can plug the values into the volume formula:

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

Calculating \( (5)^2 \):

\[ (5)^2 = 25 \]

Now substitute that value back into the formula:

\[ V = 3.14 \times 25 \times 16 \]

Calculating \( 25 \times 16 \):

\[ 25 \times 16 = 400 \]

Now calculate the volume:

\[ V = 3.14 \times 400 = 1,256 \text{ cubic centimeters} \]

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

The correct choice is: 1,256 cubic centimeters.

Answer 6

a jar of salsa has a heigh of 6 inches and a radius of 2 inches. Find the volume of the salsa jar. Use 3.14 for pi.

56.52 cubic inches

226.08 cubic inches

18.84 cubic inches

75.36 cubic inches

Answer 7

To find the volume of the salsa jar, which is assumed to be in the shape 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.

Given:

• Height \( h = 6 \) inches,
• Radius \( r = 2 \) inches.

Substituting these values into the volume formula:

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

Calculating \( (2)^2 \):

\[ (2)^2 = 4 \]

Now substituting that back into the volume formula:

\[ V = 3.14 \times 4 \times 6 \]

Calculating \( 4 \times 6 \):

\[ 4 \times 6 = 24 \]

Now calculate the volume:

\[ V = 3.14 \times 24 = 75.36 \text{ cubic inches} \]

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

The correct choice is: 75.36 cubic inches.

Answer 8

a water tower has a heigh of 25 meters and a width of 16 meters. What is the volume of the water tower? use 3.14 for pi.

5,024 cubic meters

20,096 cubic meters

7,850 cubic meters

15,700 cubic meters

Answer 9

To find the volume of a water tower, which is typically in the shape of a cylinder, you 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,
• \( \pi \) is approximately 3.14.

Given:

• Height \( h = 25 \) meters,
• Width (diameter) \( d = 16 \) meters.

First, determine the radius \( r \):

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

Now, substitute the values into the volume formula:

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

Calculating \( (8)^2 \):

\[ (8)^2 = 64 \]

Now substitute that back into the volume formula:

\[ V = 3.14 \times 64 \times 25 \]

Calculating \( 64 \times 25 \):

\[ 64 \times 25 = 1600 \]

Now calculate the volume:

\[ V = 3.14 \times 1600 \]

Calculating \( 3.14 \times 1600 \):

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

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

The correct choice is: 5,024 cubic meters.