Plot of the Cone Penetration Test data (CPT) is shown in Figure 2. If the height and radius of the cone are At the top of this page is a model problem that shows students how to calculate the volume of a cone. 1. Volume of Cones Name_____ Find the volume of each figure. ..... 2 1.2 Thinking Rheo-Logically ..... 2 1.3 Three Schools of Thought on Viscosity Find a missing measurement (height, radius, or diameter) for a cylinder, cone, or sphere given the volume. 2. Figure 2. Section 7.4 Volumes of Cones 319 Find the volume V or height h of the cone. Round your answers to the nearest whole, if necessary. = 3.14) For Christmas, Lily makes a paper cone Santa hat. Find the volume of a cylinder, cone, and sphere given a radius and height. k c o u N q p c where; po is total overburden pressure at the level of cone tip Since d=16.5 kN/m 3 and sat=19.8 kN/m 3 then, po= 3x16.5 + 2.5x19.8= 99 kPa cu 16.7 kPa 18 3. Area under the plotted curve represents volume of whole body and the x-coordinate of the centroid of the area under the curve is given by: (Hint: vφ = A(r )z.) 15 cm V ≈ 6 cm 2. Record your results in the table. Reduce the problem to one of locating the centroid of area Appx Summation may be used instead of integration Divide the area into several strips Volume of each strip = A∆x Plot all such A against x. Problem 2 A common type of viscometer consists of a cone rotating against a fixed plate, as shown in Figure 1. Find the radius of the base and the surface area of the cone. 1) 16 m 16 m 2) 20 ft 10 ft 3) 10 m 3 m 4) 2 ft 2 ft 5) 14 cm 7 cm 6) 6 in 4 in 7) 7 cm 2 cm 8) 10 mi 5 mi 9) 9 km 8 km 10) 6 mi 6 mi 11) 18 km 9 km 12) 8 yd 8 yd Repeat this three times. MORE SOLUTIONS TO STICKY PROBLEMS: TABLE OF CONTENTS INTRODUCTION ..... 1 CHAPTER 1: Brookfield School of Thought..... 2 1.1 Why Make Rheological Measurements? Below are six problems for students to solve. Cut out another part from the circle in Activity 1 and make a cone. Use the formulas for the volumes of cylinders, cones, and spheres to solve a variety of real-world problems. Because this is an advanced-level worksheet, most problems have decimals in the given numbers. Round your answer to two decimal places. We need to begin by defining Round your answer to the nearest tenth. 150+ LCM and HCF Question with Solution Free PDF. 2 ACTIVITY: Experimenting with Surface Area Write a story that uses real-life cones. Explain how this viscometer can be used to construct the stress-strain relationship 1 CE 366 – SETTLEMENT (Problems & Solutions) P. 1) LOAD UNDER A RECTANGULAR AREA (1) Question: The footing shown in the figure below exerts a uniform pressure of 300 kN/m 2 to the soil. a cone. The half-angle at the apex of this cone is 65 degrees, and the height of the apex is 3800 m. At what height is the center of mass? Round your answer to two decimal places. 340+ Discounts and Marked Price Question with Solution Free PDF. Section 6.5 Surface Areas of Cones 277 Work with a partner. 850+ One Word Substitution PDF – Download Now: 150+ Compound Interest Question with Solution Free PDF 50+ Boats & Streams Question with Solution Free PDF. 15 yd h ≈ Volume = 7200 yd3 EXAMPLE 3 Real-Life Application You must answer a trivia question before the sand in the timer falls to B) Find the volume of each cone from the given parameters. Determine vertical stress increase due to uniform pressure, at a … (use ! Example Problem 2 (Solution) This problem is far more complex than the previous problem and will involve equation 1. Describe the pattern. Plot of CPT data Estimate undrained shear strength at depth 5.5 m assuming the cone factor Nk=18. 1. (use ! Show from physical arguments (or otherwise) that the shear rate is independent of r . 600+ Geometry Question with Solution Free PDF. Assume that the material in Mount Fuji has uniform density. = 3.14) A) Find the volume of each cone.