Determine the volume of a sphere whose great circle has a circumference of 12.4π. Round to the hundredths.

we have

circumference of sphere=12.4π

2πr=12.4π

r=12.4/2=6.2

now

volume of sphere=4/3×πr³=4/3×π×(6.2)³=161 is your answer [approximately]

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

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