Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 1 - Foundations for Algebra - 1-2 Order of Operations and Evaluating Expressions - Practice and Problem-Solving Exercises - Page 15: 60


131.9 $cm^{2}$ No. Doubling the radius or the height does not double the surface area.

Work Step by Step

The general equation for the surface area of a cone is: $A= \pi r(h+r)$ We are given that the height is 11 cm and the radius is 3 cm. h= 11 r=3 We substitute the numbers for the variables in the equation. A= $\pi$(3)(11+3) A= 131.9 $cm^{2}$ ~~~ Surface area when doubling the radius: h= 11 r= 3 $\times$ 2 = 6 A= $\pi$(6)(11+6) A=320.28 $cm^{2}$ ** The surface area is more than double the initial surface area. ~~~ Surface area when doubling the height: h= 11 $\times$ 2 = 22 r= 3 A= $\pi$(3)(22+3) A=235.5 $cm^{2}$ ** The surface area is less than double the initial surface area.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.