Ejercicio 2: Supongamos que se tiene un recipiente cilíndrico de radio y altura lleno de un líquido de densidad constante y que se desea vaciar el contenido llevando el líquido a la parte superior del recipiente. Calcula el trabajo que se requiere para llevar a cabo esta tarea, realizando los pasos que se te piden. Ayuda: Para calcular el trabajo para vaciar el recipiente se puede pensar en seccionar el contenido del recipiente en un número infinito de elementos cilíndricos de radio y anchura (ver figura inferior) y calcular el trabajo que se tiene que realizar para llevar cada una de estas secciones a la parte superior del recipiente.

a) Calcula el diferencial de volumen de uno de estos elementos cilíndricos de anchura .



b) Calcula el diferencial de masa correspondiente.



c) Calcula el diferencial de peso correspondiente.

Find the height of a square pyramid that has the volume of 32 ft.³ and a base lengthof 4 feet

For this option, you will work individually. the pythagorean theorem can be used in many real-world scenarios. part 1 write your own real-world scenario where the pythagorean theorem can be applied to find a missing piece. you may choose to write a problem that is two- or three-dimensional in nature. be sure that you will be able to draw a diagram of your scenario. write out your problem and submit it for part 1. be sure to end your scenario with a question. part 2 draw a diagram of the scenario you created in part 1. you may draw by hand and scan and upload your drawing or create a computer-generated drawing for submission. be sure to label all parts and dimensions of the drawing. part 3 solve the question that you posed in part 1. show all of your steps in answering the question. for this option, you will need to submit all three parts for full credit—your real-world problem and question, the diagram that you created, and your work solving the problem, showing all steps. * note that your instructor is looking for your own original idea. while it is acceptable to use the internet for research and inspiration, academic integrity policies apply.

Ineed to know the answer to this algebra question.