Question
A cylindrical drain pipe is 3 inches across the top and about 12 inches high. How many cubic inches of water could it hold (Use 3.14 for * as needed. Round to the
Answers
Answered by
GPT 3.5
nearest whole number.)?
To find the volume of the cylindrical drain pipe, we can use the formula for the volume of a cylinder: V = πr²h.
Given that the drain pipe is 3 inches across the top, we can determine the radius by dividing the diameter by 2: r = 3 inches / 2 = 1.5 inches.
The height of the drain pipe is given as 12 inches: h = 12 inches.
Now we can substitute these values into the formula to find the volume:
V = π(1.5 inches)²(12 inches)
V = 3.14 * 1.5² * 12
V = 3.14 * 2.25 * 12
V ≈ 84.78 cubic inches
Rounded to the nearest whole number, the cylindrical drain pipe could hold approximately 85 cubic inches of water.
To find the volume of the cylindrical drain pipe, we can use the formula for the volume of a cylinder: V = πr²h.
Given that the drain pipe is 3 inches across the top, we can determine the radius by dividing the diameter by 2: r = 3 inches / 2 = 1.5 inches.
The height of the drain pipe is given as 12 inches: h = 12 inches.
Now we can substitute these values into the formula to find the volume:
V = π(1.5 inches)²(12 inches)
V = 3.14 * 1.5² * 12
V = 3.14 * 2.25 * 12
V ≈ 84.78 cubic inches
Rounded to the nearest whole number, the cylindrical drain pipe could hold approximately 85 cubic inches of water.