The cross section of a pipe of length 49cm.the thicknes of the pipe is 1cm4mm and the outer diameter is 30cm.find the volume of the pipe.
area of cross-section of pipe
= π(30)^2 - π(1.4)^2
volume = 49(900π - 1.96π)
= 44003.96 cm^3
or appr 44000 cm^3
Bt its ans 6166.16cm^3
To find the volume of the pipe, we need to calculate the difference between the volumes of the outer cylinder and the inner cylinder.
First, let's convert the thickness of the pipe into centimeters. Since 1 centimeter is equivalent to 10 millimeters, 1 centimeter and 4 millimeters can be expressed as 1.4 centimeters.
Next, we'll calculate the inner radius and outer radius of the pipe.
The outer diameter of the pipe is given as 30 centimeters. So, the outer radius (r1) can be found by dividing the diameter by 2:
r1 = 30 cm / 2 = 15 cm
The inner radius (r2) can be obtained by subtracting the thickness from the outer radius:
r2 = r1 - thickness
= 15 cm - 1.4 cm
≈ 13.6 cm
Now, we can calculate the volumes of the inner and outer cylinders using the formula for the volume of a cylinder:
Volume of outer cylinder = π * r1^2 * h,
Volume of inner cylinder = π * r2^2 * h,
where h is the length of the pipe.
Substituting the given values, we find:
Volume of outer cylinder = π * (15 cm)^2 * 49 cm,
Volume of inner cylinder = π * (13.6 cm)^2 * 49 cm.
Finally, we subtract the volume of the inner cylinder from the volume of the outer cylinder to find the volume of the pipe:
Volume of the pipe = Volume of outer cylinder - Volume of inner cylinder.
You can calculate the numerical values by substituting them into the equation. In this case, since we only have the dimensions written in centimeters, the volume of the pipe will be in cubic centimeters (cm^3).