Find the volume of a cylinder with a height of 12 inches and a diameter of 8 inches. (1 point)
• 2,411.52 cubic inches
• 1,808.64 cubic inches
• 150.72 cubic inches
• 602.88 cubic inches
To find the volume of a cylinder, you can use the formula V = πr^2h, where V is the volume, π is approximately 3.14159, r is the radius of the base, and h is the height.
The given diameter is 8 inches, so the radius would be half of that, which is 4 inches.
Using the values, we can calculate the volume V = 3.14159 * 4^2 * 12 = 3.14159 * 16 * 12 = 602.88 cubic inches.
Therefore, the correct answer is 602.88 cubic inches. Answer choice: • 602.88 cubic inches.
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. (1 point)
• 1,256 cubic centimeters
• 4,019.2 cubic centimeters
• 2,009.6 cubic centimeters
O 5,024 cubic centimeters
To find the volume of the peanut butter jar, you can use the formula V = base area * height. Since the jar is shaped like a cylinder, the base area will be a circle.
The formula for the area of a circle is A = πr^2, where A is the area and r is the radius of the circle.
Given that the width is 10 centimeters, the radius would be half of that, which is 5 centimeters.
Using the values, we can calculate the base area A = π * 5^2 = 3.14159 * 25 = 78.53975 square centimeters.
Then, we can calculate the volume V = base area * height = 78.53975 * 16 = 1,256.636 cubic centimeters.
Rounding to the nearest whole number, the volume of the peanut butter jar is approximately 1,257 cubic centimeters.
Therefore, the correct answer is 1,256 cubic centimeters. Answer choice: • 1,256 cubic centimeters.
A water tower has a height of 25 meters and a width of 16 meters. What is the volume of the water tower? (1 point)
• 20,096 cubic meters
• 15,700 cubic meters
O 7,850 cubic meters
• 5,024 cubic meters
To find the volume of the water tower, we can use the formula V = base area * height.
Since the water tower is shaped like a cylinder, the base area will be a circle. The formula for the area of a circle is A = πr^2, where A is the area and r is the radius of the circle.
Given that the width is 16 meters, the radius would be half of that, which is 8 meters.
Using the values, we can calculate the base area A = π * 8^2 = 3.14159 * 64 = 201.06176 square meters.
Then, we can calculate the volume V = base area * height = 201.06176 * 25 = 5,026.544 cubic meters.
Rounding to the nearest whole number, the volume of the water tower is approximately 5,027 cubic meters.
Therefore, the correct answer is 5,027 cubic meters. Answer choice: • 5,024 cubic meters.
Describe the volume of the cylinder with a base radius of 2.5 in. and a height of 9 in. (1 point)
• (2.5) (9) in.3
0 T (2.5) (9) in. 3
0 7(9)? (2.5) in. 3
0 (2.5)? (9) in.3
The volume of the cylinder with a base radius of 2.5 in. and a height of 9 in. can be calculated using the formula V = πr^2h, where V is the volume, π is approximately 3.14159, r is the radius of the base, and h is the height.
Plugging in the values, we get V = 3.14159 * (2.5)^2 * 9.
Simplifying this expression, we have V = 3.14159 * 6.25 * 9.
Therefore, the volume of the cylinder is given by V = 176.715 cubic inches.
So, the correct description of the volume would be (2.5) (9) in.^3. Answer choice: • (2.5) (9) in.^3.