A balloon 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
