Given two sheets of paper: (A) 8-1/2" x 11" and (B) 11" x 8-1/2" To answer the following questions, roll each sheet of paper into the shape of a cylinder. 1. Which one has the greater volume once rolled into a cylinder, A or B? 2. To the nearest hundredth, what is the volume of the cylinder created by paper A? 3. To the nearest tenth, what is the lateral area of the cylinder created by paper B?

Given two sheets of paper: (A) 8-1/2" x 11" and (B) 11" x 8-1/2" To answer the following questions, roll each sheet of paper into the shape of a cylinder. 1. Which one has the greater volume once rolled into a cylinder, A or B? 2. To the nearest hundredth, what is the volume of the cylinder created by paper A? 3. To the nearest tenth, what is the lateral area of the cylinder created by paper B?

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Question

### Geometry Lesson: Analyzing Cylinders from Rolled Paper

Given two sheets of paper:
- **Sheet A:** 8-1/2" x 11"
- **Sheet B:** 11" x 8-1/2"

**Instructions:** Roll each sheet of paper into the shape of a cylinder to help answer the following questions.

1. **Volume Comparison:** Which cylinder has the greater volume, A or B?
- [Answer Box]

2. **Volume Calculation for Paper A:** To the nearest hundredth, what is the volume of the cylinder created by paper A?
- [Answer Box]

3. **Lateral Area Calculation for Paper B:** To the nearest tenth, what is the lateral area of the cylinder created by paper B?
- [Answer Box]

This exercise will help you understand how dimensions affect volume and surface area in a practical setting. Consider the implications of swapping the dimensions to create different cylinders.

Expert Solution

Step 1

we have given two types of paper

A $8 \frac{1}{2} \times 11$ and B $11 \times 8 \frac{1}{2}$

Find

1) Which one has greater volume when rolled into cylinder A or B

2) What is the volume of cylinder A

3)what is lateral area of cylinder

Step by step

Solved in 3 steps

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