Challenge A spherical balloon has a 16-in. diameter when it is fully inflated. Half of the air is let out of the balloon. Assume that the balloon remains a sphere. a. Find the volume of the fully-inflated balloon. b. Find the volume of the half-inflated balloon. c. What is the radius of the half-inflated balloon?

Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter9: Surfaces And Solids
Section9.2: Pyramids, Area, And Volume
Problem 36E
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Challenge A spherical balloon has a 16-in. diameter when it is fully inflated. Half of the air is let out of
the balloon. Assume that the balloon remains a sphere.
a. Find the volume of the fully-inflated balloon.
b. Find the volume of the half-inflated balloon.
c. What is the radius of the half-inflated balloon?
Transcribed Image Text:Challenge A spherical balloon has a 16-in. diameter when it is fully inflated. Half of the air is let out of the balloon. Assume that the balloon remains a sphere. a. Find the volume of the fully-inflated balloon. b. Find the volume of the half-inflated balloon. c. What is the radius of the half-inflated balloon?
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