Aballoon has a circumference of 28 in. use the circumference to approximate the volume of the balloon to the nearest square inch. answer choices: 3,659 in ^3 11,488 in ^3 2,964 in ^3 944 in ^3

The correct question is
a) A balloon has a circumference of 28 in. Use the circumference to approximate the volume of the balloon to the nearest cubic inch.

or

b) A balloon has a circumference of 28 in. Use the circumference to approximate the surface area of the balloon to the nearest square inch.

case a)
we know that
circumference=2*pi*r
clear variable r
r=circumference/(2*pi)
circumference=28 in
r=28/(2*pi)> r=4.46 in

volume of a balloon=(4/3)*pi*r³> (4/3)*pi*4.46³> 371.61 in³
Volume=372 in³

the answer is
372 in³

case b)
we know that
circumference=2*pi*r
clear variable r
r=circumference/(2*pi)
circumference=28 in
r=28/(2*pi)> r=4.46 in

surface area of a balloon=4*pi*r²> 4*pi*4.46²---> 249.83 in²
Surface area=249.83 in²> 250 in²

the answer is
250 in²

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