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
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.3: Cylinders And Cones
Problem 47E: Richard has a fuel tank in the shape of a right circular cylinder. The tank has a height of 6 ft and...
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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.)
Transcribed Image Text: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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