Part 1: The Cement Truck In this part of the show you know assignment, you will explore questions related to the cement truck shown below. Particularly, you will explore the drum of the truck (where all of the cement is located). In the picture below, note how the top of the drum is outlined with 3 line segments. When represented appropriately, these three line segments could be rotated about the .r-axis to produce a 3-D representation of the drum. 1. Using appropriate units, nd the volume of the drum of this cement truck. Show you know what you are doing by showing clearly \"what does a slice look like?\" What information does this provide? Check Google to see how close your result is to the actual volume of a cement truck drum. You will need to make reasonable estimates for the any measurements needed to address this situation. Explain how you decided upon these measurements. 2. Suppose that the density of cement is 5258.91b/yd3. What is the weight of a full drum of cement? I recognize that they probably don't ever completely ll a drum with cement.. .but ifthey did... Part 2: Cement Trucks and Work A full cement truck is stuck at the bottom of a 250 foot gorge. A cable weighing 1.5 pounds per foot is attached to the front of the truck and a winch on the top of the gorge. Once the truck begins being pulled up, the wet cement inside the truck begins to leak out at a rate of 0.01 ft3 per foot traveled. How much work is done moving the truck from the bottom of the gorge back to the top