WHAT IS THE VOLUME OF A PIPE WHOSE ONE END DIA IS 20 CM, ANOTHER SIDE DIA IS 30 CM AND LENGTH IS 500CM
assuming you are giving inside diameters, then the pipe is just a frustrum of a cone, whose base diameter is 30cm.
Since the diameter decreased by 10 cm in 500 cm, it will be zero after another 100 cm.
So, the volume of the pipe is the volume of a cone
base diameter 30 cm and height 1500 cm
minus the chopped-off top, which is a cone of
base diameter 20 cm and height 1000 cm.
Assuming you can find the volume of a cone, your way should now be clear.
cleared
To find the volume of a pipe, you can use the formula for the volume of a cylindrical shape, which is given by:
Volume = π * r^2 * h
Here, π represents the mathematical constant pi (approximately 3.14159), r is the radius of the pipe, and h is the height or length of the pipe.
Given that the pipe has two different diameters, we need to consider that the radius will also be different at each end.
To calculate the radius (r), we need to divide the diameter (d) by 2:
- The radius (r1) at the end with a diameter of 20 cm is 20 cm / 2 = 10 cm.
- The radius (r2) at the end with a diameter of 30 cm is 30 cm / 2 = 15 cm.
Now, we can substitute the values into the volume formula:
Volume = π * r1^2 * h
Volume = 3.14159 * 10^2 * 500 cm^3
Volume = 3.14159 * 100 * 500 cm^3
Volume = 3.14159 * 50,000 cm^3
Therefore, the volume of the pipe is approximately 157,079.63 cm^3.