A spherical balloon has a 26-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 diameter of the half-inflated balloon?

A spherical balloon has a 26-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 diameter of the half-inflated balloon?

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

A spherical balloon has a 26-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 diameter of the half-inflated balloon?
a. The volume of the fully-inflated balloon is O
(Simplify your answer. Type an exact answer, using pi as needed. Use integers or fractions for any numbers in the expression.)

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