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The volume of air in a balloon is represented by the function V (r) = four-thirds pi r cubed, where r is the radius of the balloon, in inches. The radius of the balloon increases with time, in seconds, by the function r (t) = one-fourth t squared. Write a composite function that can be used to determine the volume of the balloon after t seconds. Then, select the two true statements.

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josiah155110

Answer: You do not need calculus for this problem, as it is currently stated.  Is something missing from the problem statement?  If not, then just find the difference between the volumes.  That will be the additional air required to inflate from the lower volume to the higher volume.  For r in inches and V(r) in inches cubed,

V1(r) = (4/3)Ï€r3

V2(2) = (4/3)Ï€(r + 1)3

V2(r) - V1(r) = (4/3)Ï€[(r + 1)3 - r3]

That is your function.  You can simplify it further if you wish.

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hope this helps BTW

Answer:

The answers are A and C

Step-by-step explanation:

Just did it on e2020

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