a sphere with a radius of 5 cm fits inside a box. Every face of the box is tangent to the sphere. What is the ratio of the volume of the box to the volume of the sphere?A.) 6 : piB.) 3 : 4piC.) 2 : 3piD.) 1 : 12pi
Question
Answer:
Volume of box with side length of 5 = 5^3 = 125Volume of sphere = (4/3)*pi*5^3 = (4/3)pi * 125
Ratio = 125/(4pi/3)*125 = 1/(4pi/3) = 3/(4pi)
Answer: B
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