Find the volume, in cubic inches, of a cylinder with a diameter of 16 inches and a height of 7 inches. Use 3.14 for pi. Round your answer to the nearest hundredth.(1 point)

Question

___cubic inches

2. Use the image to answer the question.A 3 D cylinder shows a base radius of 3 centimeters and perpendicular height of 5 centimeters. A right angle is formed at the center of the base. Find the volume of the cylinder, in cubic centimeters. Use 3.14 for pi. Round your answer to the nearest tenth.(1 point) cubic centimeters

3. Use the image to answer the question. A 3 D oblique cylinder shows a length of 10 meters and a perpendicular height of 7 meters. The base radius is 4 meters. Find the volume of the cylinder, in cubic meters. Use 3.14 for pi. Round your answer to the nearest hundredth.(1 point) cubic meters

4. A can of peas has a height of 6 inches and a radius of 3 inches. What is the volume, in cubic inches, of the can? Use 3.14 for pi.(1 point)
cubic inches

5. A gas tank has a height of 8 feet and a width of 6 feet. What is the volume, in cubic feet, of the gas tank? Use 3.14 for pi.(1 point)
___cubic feet

Answer 1

To solve these problems, we will use the formula for the volume of a cylinder, which is given by:

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

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

1. Cylinder with a diameter of 16 inches and a height of 7 inches

Given:

• Diameter = 16 inches
• Radius = Diameter / 2 = 16 / 2 = 8 inches
• Height = 7 inches
• Use \( \pi = 3.14 \)

Calculate the volume: \[ V = 3.14 \times (8^2) \times 7 = 3.14 \times 64 \times 7 = 3.14 \times 448 = 1407.92 \] Answer: 1407.92 cubic inches

2. Cylinder with a base radius of 3 centimeters and height of 5 centimeters

Given:

• Radius = 3 cm
• Height = 5 cm
• Use \( \pi = 3.14 \)

Calculate the volume: \[ V = 3.14 \times (3^2) \times 5 = 3.14 \times 9 \times 5 = 3.14 \times 45 = 141.3 \] Answer: 141.3 cubic centimeters

3. Oblique cylinder with a length of 10 meters, height of 7 meters, and base radius of 4 meters

Note: The length in an oblique cylinder typically does not affect the volume calculation unless specified. We use the height for volume calculation. Given:

• Radius = 4 m
• Height = 7 m
• Use \( \pi = 3.14 \)

Calculate the volume: \[ V = 3.14 \times (4^2) \times 7 = 3.14 \times 16 \times 7 = 3.14 \times 112 = 351.68 \] Answer: 351.68 cubic meters

4. Can of peas with a height of 6 inches and a radius of 3 inches

Given:

• Radius = 3 inches
• Height = 6 inches
• Use \( \pi = 3.14 \)

Calculate the volume: \[ V = 3.14 \times (3^2) \times 6 = 3.14 \times 9 \times 6 = 3.14 \times 54 = 169.56 \] Answer: 169.56 cubic inches

5. Gas tank with a height of 8 feet and a width of 6 feet

Since width refers to diameter for a cylinder, we have: Given:

• Diameter = 6 feet
• Radius = Diameter / 2 = 6 / 2 = 3 feet
• Height = 8 feet
• Use \( \pi = 3.14 \)

Calculate the volume: \[ V = 3.14 \times (3^2) \times 8 = 3.14 \times 9 \times 8 = 3.14 \times 72 = 226.08 \] Answer: 226.08 cubic feet

Here are the summarized answers:

1. 1407.92 cubic inches
2. 141.3 cubic centimeters
3. 351.68 cubic meters
4. 169.56 cubic inches
5. 226.08 cubic feet

Answer 2

1. 1,406.72

QUICk CHECK TIME

#1 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

2,411.52 cubic inches
2,411.52 cubic inches

150.72 cubic inches
150.72 cubic inches

602.88 cubic inches
602.88 cubic inches

1,808.64 cubic inches

#2 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
339.12 cubic centimeters
678.24 cubic centimeters
226.08 cubic centimeters
169.56 cubic centimeters

#3 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

5,024 cubic centimeters
5,024 cubic centimeters

1,256 cubic centimeters
1,256 cubic centimeters

4,019.2 cubic centimeters

#4 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

56.52 cubic inches
56.52 cubic inches

226.08 cubic inches
226.08 cubic inches

18.84 cubic inches
18.84 cubic inches

75.36 cubic inches

#5 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

15,700 cubic meters
15,700 cubic meters

7,850 cubic meters
7,850 cubic meters

20,096 cubic meters
20,096 cubic meters

5,024 cubic meters

Answer 3

Let's solve each problem step by step using the volume formula for a cylinder:

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

where \( V \) is the volume, \( r \) is the radius, and \( h \) is the height. We'll use \( \pi = 3.14 \) as instructed.

#1 Cylinder with a height of 12 inches and a diameter of 8 inches

• Diameter = 8 inches
• Radius = Diameter / 2 = 8 / 2 = 4 inches
• Height = 12 inches

Calculate the volume: \[ V = 3.14 \times (4^2) \times 12 = 3.14 \times 16 \times 12 = 3.14 \times 192 = 602.88 \text{ cubic inches} \]

Answer: 602.88 cubic inches

#2 Oblique cylinder with a height of 6 centimeters and base radius of 3 centimeters

• Radius = 3 cm
• Height = 6 cm

Calculate the volume: \[ V = 3.14 \times (3^2) \times 6 = 3.14 \times 9 \times 6 = 3.14 \times 54 = 169.56 \text{ cubic centimeters} \]

Answer: 169.56 cubic centimeters

#3 A jar of peanut butter with a height of 16 centimeters and width of 10 centimeters

Assuming width refers to diameter:

• Diameter = 10 cm
• Radius = Diameter / 2 = 10 / 2 = 5 cm
• Height = 16 cm

Calculate the volume: \[ V = 3.14 \times (5^2) \times 16 = 3.14 \times 25 \times 16 = 3.14 \times 400 = 1256 \text{ cubic centimeters} \]

Answer: 1,256 cubic centimeters

#4 A jar of salsa with a height of 6 inches and a radius of 2 inches

• Radius = 2 inches
• Height = 6 inches

Calculate the volume: \[ V = 3.14 \times (2^2) \times 6 = 3.14 \times 4 \times 6 = 3.14 \times 24 = 75.36 \text{ cubic inches} \]

Answer: 75.36 cubic inches

#5 A water tower with a height of 25 meters and a width of 16 meters

Assuming width refers to diameter:

• Diameter = 16 m
• Radius = Diameter / 2 = 16 / 2 = 8 m
• Height = 25 m

Calculate the volume: \[ V = 3.14 \times (8^2) \times 25 = 3.14 \times 64 \times 25 = 3.14 \times 1600 = 5024 \text{ cubic meters} \]

Answer: 5,024 cubic meters

Summary of Answers:

1. 602.88 cubic inches
2. 169.56 cubic centimeters
3. 1,256 cubic centimeters
4. 75.36 cubic inches
5. 5,024 cubic meters

These calculated answers correlate with the problem requirements outlined. If you would like to verify any specific numerical options or have any further questions, feel free to ask!

Answer 4

Good job 🏥

Answer 5

Thank you! I'm glad you found my answers helpful. If you have any more questions or need further assistance, whether it's about math or any other topic, feel free to ask! 😊