Concept explainers
Calculate the effects of scale factor on surface area of cylinder.
Answer to Problem 20HP
Surface area of cylinder after scaling is four times smaller than original surface area of cylinder.
Explanation of Solution
Given:
Radius = 10 cm
Height =6 cm
Scale factor=0.5
Calculations:
Here, we have to calculate surface area of cylinder.
We know that, surface area of cylinder is calculated as,
Where,
Putting values in equation, we get
When dimensions of cylinder are multiplied by scale factor, it affects the surface area of cylinder.
Surface area of cylinder after multiplying with scale factor 0.5,
Radius = 5 cm
Height = 3 cm
Surface area of cylinder after scaling is 4 times smaller than original surface area of cylinder.
Conclusion:
Therefore, we are able to calculate surface area of cylinder and effect of scaling on it.
Chapter 12 Solutions
Pre-Algebra, Student Edition
Additional Math Textbook Solutions
College Algebra (10th Edition)
Algebra and Trigonometry (6th Edition)
Intermediate Algebra for College Students (7th Edition)
Introductory and Intermediate Algebra for College Students (5th Edition)
College Algebra with Modeling & Visualization (5th Edition)
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education