Dana is holding a bottle of shampoo, which is cylindrical in shape with a radius of about 2 in. and a height of about 7 in. she is wondering how many bottles of this shampoo she can fit in a suitcase that is shaped like a rectangular prism and is about 3 ft long, 2 ft wide, and 1 ft tall. her reasoning, shown here, contains an error.

the shampoo bottle has a volume of about 88 in³, or about 8×101 in³.
the suitcase has a volume of about 10,368 in³, or about 1×105 in³.
1×1058×101=18×104 , so about 1250 bottles of shampoo could fit in the suitcase.

what is dana's error?

a. the value 88 should have been rounded to 8×102 .
b. the volume of the shampoo bottle is not 88 in³.
c. the volume of the suitcase is not about 10,368 in³.
d. the value 10,368 should have been rounded to 1×104 .

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