3.4 Unit Three Quiz Below are the steps and questions to this portfolio broken down: Step 1 Contest Directions - These are only the directions, you can ignore this step. Step 2 The Challenges - Challenge #1 – The Penny Problem - Find the volume of a penny with the given dimensions. - Find the volume of the glass jar with the given dimensions. - With these volumes, use division to find how many pennies would fit in the glass jar. - Challenge #2 – Tennis Trouble - Find the volume of a tennis ball with the given dimensions. - Find the volume of the cylinder, volume of the cone, and add the two volumes together. - Use division with the volume of the tennis ball and the combined volume of the cylinder and cone to find how many tennis balls fit into the cylinder and cone. - You do not have to find how many tennis balls would fit if the dimensions are doubled, you can skip that part of this challenge. - Challenge #3 – Giant Gum - Find the volume of the pyramid gum with the given directions. - Find the volume of the sphere with the given directions. - Using division, find how many pyramids will fit inside the sphere. Step 3 Answering the Questions - 1) Find the volume of the total number of tennis balls that fit in the cylinder and subtract that volume from the volume of the cylinder to find the empty space. I want you to answer the second part of the question on your own. - 2) Look at lesson 2 to find where the volume of a cylinder is derived from. - 3) Choose either a cone or a pyramid and tell from which formula its volume is derived from. - 4) Look at lesson 2 to find the answer for this question. - 5) For this question, it is completely your opinion. I just want you to explain why you choose your shape. For your proof, try looking at the volumes of different figures with similar dimensions. Step 4 What to Submit - Make sure to write or type everything up, including the work for each of the volumes you find and submit it to the dropbox. Please call or webmail me with any questions!