Question
Two stacks of 23 quarters each are shown One stack forms a cylinder but the other stack does not form a cylinder Stack 1 Stack
Two stacks of 23 quarters each are shown One stack forms a cylinder but the other stack does not form a cylinder Stack 1 Stack 2 Why are the volumes of these two stacks of quarters equal Use Cavalieri s Principle to explain your thinking Every cross section perpendicular to the bases has an equal area Because both stacks have height the stacks must have the same volume If Stack 1 was twisted it would look like Stack 2 so the stacks must have the same volume If Stack 2 was straightened it would look like Stack 1 so the stacks must have the same volume Every cross section parallel to the bases has an equal area Because the stacks are the same height the stacks must have the same volume
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started