Geometry: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281159
ISBN 13: 978-0-13328-115-6

Chapter 11 - Surface Area and Volume - 11-6 Surface Areas and Volumes of Spheres - Practice and Problem-Solving Exercises - Page 737: 17

Answer

24 ft^3

Work Step by Step

Ratio of Areas= 52:208 Simplify the ratio: 1:4 Ratio of sides= Square root of 1 : Square root of 4 Ratio of sides: \sqrt 1 : \sqrt 4 Ratio of Volumes: 1 cubed : 2 cubed Ratio of Volumes: 1:8 The bigger figure is 8 times bigger than the smaller one. Divide the bigger figure (192) by 8 to get the volume of the smaller figure. 192/8 = 24 ft^3 The volume of smaller figure: 24 ft^3
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