Example Problem 2 (Solution) This problem is far more complex than the previous problem and will involve equation 1. Because this is an advanced-level worksheet, most problems have decimals in the given numbers. Record your results in the table. Find a missing measurement (height, radius, or diameter) for a cylinder, cone, or sphere given the volume. Plot of CPT data Estimate undrained shear strength at depth 5.5 m assuming the cone factor Nk=18. B) Find the volume of each cone from the given parameters. Round your answer to two decimal places. (Hint: vφ = A(r )z.) Show from physical arguments (or otherwise) that the shear rate is independent of r . Use the formulas for the volumes of cylinders, cones, and spheres to solve a variety of real-world problems. 3. Cut out another part from the circle in Activity 1 and make a cone. 1. a cone. Determine vertical stress increase due to uniform pressure, at a … We need to begin by defining = 3.14) For Christmas, Lily makes a paper cone Santa hat. 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. Repeat this three times. 2. 600+ Geometry Question with Solution Free PDF. MORE SOLUTIONS TO STICKY PROBLEMS: TABLE OF CONTENTS INTRODUCTION ..... 1 CHAPTER 1: Brookfield School of Thought..... 2 1.1 Why Make Rheological Measurements? 2 ACTIVITY: Experimenting with Surface Area Write a story that uses real-life cones. Section 6.5 Surface Areas of Cones 277 Work with a partner. 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 answers to the nearest whole, if necessary. Explain how this viscometer can be used to construct the stress-strain relationship (use ! Section 7.4 Volumes of Cones 319 Find the volume V or height h of the cone. Figure 2. 1. 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. ..... 2 1.2 Thinking Rheo-Logically ..... 2 1.3 Three Schools of Thought on Viscosity 850+ One Word Substitution PDF – Download Now: 150+ Compound Interest Question with Solution Free PDF 50+ Boats & Streams Question with Solution Free PDF. Round your answer to two decimal places. (use ! Find the volume of a cylinder, cone, and sphere given a radius and height. 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: 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 Volume of Cones Name_____ Find the volume of each figure. 340+ Discounts and Marked Price Question with Solution Free PDF. 150+ LCM and HCF Question with Solution Free PDF. If the height and radius of the cone are = 3.14) A) Find the volume of each cone. Plot of the Cone Penetration Test data (CPT) is shown in Figure 2. Round your answer to the nearest tenth. At the top of this page is a model problem that shows students how to calculate the volume of a cone. 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 Describe the pattern. 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 Below are six problems for students to solve. Assume that the material in Mount Fuji has uniform density. 15 cm V ≈ 6 cm 2. Problem 2 A common type of viscometer consists of a cone rotating against a fixed plate, as shown in Figure 1.