Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

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

image text in transcribed
image text in transcribed

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

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image

Step: 3

blur-text-image

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Differential Geometry Of Curves And Surfaces Revised And Updated

Authors: Manfredo P Do Carmo

1st Edition

0486817970, 9780486817972

More Books

Students also viewed these Mathematics questions

Question

Let For all n . Then, if Show that EX Answered: 1 week ago

Answered: 1 week ago

Question

What is the work environment like? Friendly/collegial?

Answered: 1 week ago