Answered: | 15 ft

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

What is the surface area and volume? And then what will be the surface area and volume if we enlarge it by a factor of 4

Expert Solution

Step 1

Given:

Radius, $r = 5 ft$ .

Height, $h = 15 ft$ .

Total surface area of a cone is,

$A = πr (r + \sqrt{h^{2} + r^{2}})$

Volume of a cone is,

$V = \frac{1}{3} {πr}^{2} h$ .

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