## )A chocolate bar measures 30 mm wide, 70 mm long, and mm high. Will’s Wrapping Company is making a wrapper to cover the chocolate bar. Use t

Question

)A chocolate bar measures 30 mm wide, 70 mm long, and mm high. Will’s Wrapping Company is making a wrapper to cover the chocolate bar. Use the correct net and determine how much paper will be needed to make the wrapper.

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3 weeks 2021-09-26T00:45:53+00:00 1 Answer 0

57 in³

Step-by-step explanation:

since the volume of gas and the cube of its radius vary directly, we can set up an initial equation to find the constant of variation:

v = kr³, where v=volume, r=radius and k= contant of variation

given that a balloon with a radius of 3 inches can hold a volume of 81 cubic inches, we can plug these values into the equation and solve for ‘k’:

81 = k3³ or 81 = 27k or k = 3

given ‘k’, now we can find the volume of the balloon with a radius of 2:

v = (3)(2³) = 24 in³

since the question asked how much gas must be released to reduce the radius, we would find the difference of 81 and 24:

81 – 24 = 57 in³