You are working for a plumber who is laying very long sections of copper pipe for a large building project. he spends a lot of time measuring the lengths of the sections with a measuring tape. you suggest a faster way to measure the length. you know that the speed of a one-dimensional compressional wave traveling along a copper pipe is 3.56 km/s. you suggest that a worker give a sharp hammer blow at one end of the pipe. using an oscilloscope app on your smartphone, you will measure the time interval δt between the arrival of the two sound waves due to the blow: one through the 20.0°c air and the other through the pipe.

a) to measure the length, you must derive an equation that relates the length l of the pipe numerically to the time interval δt.

Ahiking trail is 6 miles long. it has 4 exercise stations, spaced evenly along the trail. what is the distance between each exercise station?

The function f(x) is shown in this graph the function g(x)=6x

For every corresponding pair of cross sections, the area of the cross section of a sphere with radius r is equal to the area of the cross section of a cylinder with radius and height 2r minus the volume of two cones, each with a radius and height of r. a cross section of the sphere is and a cross section of the cylinder minus the cones, taken parallel to the base of cylinder, is the volume of the cylinder with radius r and height 2r is and the volume of each cone with radius r and height r is 1/3 pie r^3. so the volume of the cylinder minus the two cones is therefore, the volume of the cylinder is 4/3pie r^3 by cavalieri's principle. (fill in options are: r/2- r- 2r- an annulus- a circle -1/3pier^3- 2/3pier^3- 4/3pier^3- 5/3pier^3- 2pier^3- 4pier^3)