PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!! THIS IS THE LAST DAY TO COMPLETE THIS ASSIGNMENT AND I DESPERATELY NEED TO FINISH THIS ASSIGNMENT WITH AN 100%.

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joseaaronlara joseaaronlara · Answer 1 · 2019-09-11T16:49:51+02:00

Answer:

The answer to your question is: letter a

Step-by-step explanation:

data

balls diameter = 0.75 in then radius = 0.375 in

rectangular prism = length = 3 in width = 3 height = 7.5 in

Formula

Rectangular prism volume = l x w x h = 3 x 3 x 7.7 = 67.5 in³

ball volume = 4/3 (3.1416)(r³) = 4/3 (3.1416)(0.375)³ = 0.220in³

but 0.220in³ ------------------- 100 %

x ------------------- 190%

x = 0.418 in³

Finally divide the rectangular prism volume by ball volume

# of balls = 67.5 / 0.418 = 161.4 ≈ 160

DocterKHAN DocterKHAN · Answer 2 · 2019-09-11T16:56:39+02:00

Answer:

Option "A" is correct.

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Step-by-step explanation:

First find the volume of each chocolate ball by the formula provided

*note that there is radius required in the formula that's why we have to convert the diameter in to radius by dividing it by two*

i.e. radius = diameter / 2

=> radius = 0.75/2 = 0.375 inches

THUS the volume of each chocolate ball is equal to

[tex] \frac{4}{3} \: \pi \times {(0.375)}^{3} = 0.22 \: cube \: inches[/tex]

Here it is also mentioned that each ball occupy 190% of its original volume thus 190% of 0.22 = 0.22×190 / 100 = 0.418

NOW volume of the pack

= 7.5×3×3 = 67.5

THUS the total number of balls that the pack can occupy

= 67.5 / 0.418 = 161....(approx equal to the given 160)

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