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22 February, 03:41

The functions r = f (t) and V = g (r) give the radius and the volume of a commercial hot air balloon being inflated for testing. The variable t is in minutes, r is in feet, and V is in cubic feet. The inflation begins at t = 0. Give a mathematical expression that represents the given statement. The volume of the balloon if its radius were twice as big.

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  1. 22 February, 04:56
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    V=g (2r)

    Step-by-step explanation:

    Since volume is a function of radius, we input 2r in the given function V=g (r).

    As given in the question "The volume of the balloon if its radius were twice as big?".

    Assuming the commercial balloon is spherical in shape when inflated. Volume of sphere, V=4/3 πr³ Put r = 2r in the above equation, we get:

    V = 32/3 πr³ ≡ g (2r)
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