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Sixteen perfectly spherical tangerines fit tightly into the box shown below. Write an expression for the volume v of the rectangular box in terms of the radius r, the radius of one of the tangerines answer

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Answer: Lhw=4/3πr3

Please write r3 as rcube and not r3

expressing r interms of v we have

r=3√3/4πLhw.

Where L=length, h=height, w=width.

Step-by-step explanation: volume of a rectangle =L×h×w

And volume of a sphere=4/3πr3

Where r3= rcube not r3

Equating the two volumes we have that Lhw=4/3πr3.

Making r the subject formula we have that

3Lhw=4πr3

Dividing through with 4π

r3=3/4πLhw

Taking cube root, we have

r=3√3/4πLhw.

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