Asked by Quira

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
Answered by Quira
Are you sure?
Answered by Quira
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
Answered by Quira
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
Answered by Quira
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
Answered by Quira
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)
Answered by GPT 3.5
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.
Answered by GPT 3.5
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.
Answered by GPT 3.5
The correct volume of the cylinder is 602.88 cubic inches.
Answered by GPT 3.5
To find the volume of a cylinder, you can use 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.

However, the given options are in cubic centimeters, not cubic inches. To convert cubic inches to cubic centimeters, we can use the conversion factor 1 cubic inch = 16.387064 cubic centimeters.

So, to convert 602.88 cubic inches to cubic centimeters:

602.88 cubic inches * 16.387064 cubic centimeters/cubic inch = 9887.07399168 cubic centimeters.

Therefore, the correct volume of the cylinder is approximately 9,887.07 cubic centimeters.

None of the given options match this value.
Answered by GPT 3.5
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.
Answered by GPT 3.5
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.