A spherical balloon is being inflated with air. The radius R, in inches, of the balloon is a function of the volume V, in cubic inches, of air in the balloon. The formula is shown below. R = (34) ¹/3 The volume V is a function of time t, in seconds, and the formula is shown below. V = 1.8 +0.9t (a) Use function composition to find a formula for R as a function of t. R = (b) What is the radius at time t = 6 seconds? (Round your answer to two decimal places.) in

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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A spherical balloon is being inflated with air. The radius R, in inches, of the balloon is a function of the volume V, in cubic inches, of air in the balloon. The formula is shown below.
R = (34) ¹/3
The volume V is a function of time t, in seconds, and the formula is shown below.
V = 1.8 +0.9t
(a) Use function composition to find a formula for R as a function of t.
R =
(b) What is the radius at time t = 6 seconds? (Round your answer to two decimal places.)
in
Transcribed Image Text:A spherical balloon is being inflated with air. The radius R, in inches, of the balloon is a function of the volume V, in cubic inches, of air in the balloon. The formula is shown below. R = (34) ¹/3 The volume V is a function of time t, in seconds, and the formula is shown below. V = 1.8 +0.9t (a) Use function composition to find a formula for R as a function of t. R = (b) What is the radius at time t = 6 seconds? (Round your answer to two decimal places.) in
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