Find the volume of a cylinder with a height of 12 inches and a diameter of 8 inches.(1 point)
Responses
2,411.52 cubic inches
150.72 cubic inches
1,808.64 cubic inches
602.88 cubic inches
The correct volume of the cylinder is 602.88 cubic inches.
The volume of a cylinder is given by the formula V = πr^2h, where V is the volume, r is the radius, and h is the height.
Given that the diameter is 8 inches, the radius is half of that, which is 4 inches.
Plugging the values into the formula:
V = π(4^2)(12)
= π(16)(12)
= 192π cubic inches
Approximating π to 3.14:
V ≈ 192(3.14)
≈ 602.88 cubic inches
Therefore, the volume of the cylinder is approximately 602.88 cubic inches.
Are you sure?
I apologize for the error in my previous response. Let me correct the calculation.
The correct calculation should be:
V = πr^2h
Given that the diameter is 8 inches, the radius is half of that, which is 4 inches.
Plugging the values into the formula:
V = π(4^2)(12)
= π(16)(12)
= 192π cubic inches
Approximating π to 3.14:
V ≈ 192(3.14)
≈ 602.88 cubic inches
Therefore, the correct volume of the cylinder is indeed approximately 602.88 cubic inches. I apologize for any confusion caused.
Find the volume of the cylinder.
(1 point)
Responses
226.08 cubic centimeters
169.56 cubic centimeters
339.12 cubic centimeters
678.24 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.(1 point)
Responses
5,024 cubic centimeters
5,024 cubic centimeters
1,256 cubic centimeters
1,256 cubic centimeters
4,019.2 cubic centimeters
4,019.2 cubic centimeters
2,009.6 cubic centimeters
To find the volume of the peanut butter jar, we need to calculate the volume of a cylinder. The formula for the volume of a cylinder is V = πr^2h, where V is the volume, r is the radius, and h is the height.
Given the width of the jar is 10 centimeters, we can determine the radius by dividing the width by 2: 10 cm / 2 = 5 cm.
Using the formula and the values we determined:
V = π(5^2)(16)
V = π(25)(16)
V = 400π cubic centimeters
Approximating π to 3.14:
V ≈ 400(3.14)
V ≈ 1256 cubic centimeters
Therefore, the correct volume of the peanut butter jar is 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)
To find the volume of the water tower, we need to calculate the volume of a cylinder. The formula for the volume of a cylinder is V = πr^2h, where V is the volume, r is the radius, and h is the height.
Given the width of the water tower is 16 meters, we can determine the radius by dividing the width by 2: 16 m / 2 = 8 m.
Using the formula and the values we determined:
V = π(8^2)(25)
V = π(64)(25)
V = 1600π cubic meters
Approximating π to 3.14:
V ≈ 1600(3.14)
V ≈ 5024 cubic meters
Therefore, the volume of the water tower is approximately 5,024 cubic meters.
Find the volume of a cylinder with a height of 12 inches and a diameter of 8 inches.(1 point)
Responses
2,411.52 cubic inches
150.72 cubic inches
1,808.64 cubic inch
602.88 cubic inches