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Easy

Question

What is the value of k, in centimeters?

The glass pictured above can hold a maximum volume of 473 cubic centimeters, which is approximately 16 fluid ounces.

  1. 2.52
  2. 7.67
  3. 7.79
  4. 10.11

hintHint:

We simply put the value of volume with the formula and find the value of k.

The correct answer is: 10.11


    Step 1 of 1:
    Given the formula of volume equals fraction numerator 7 pi k cubed over denominator 48 end fraction. The given glass can hold a maximum volume of 473 cubic centimetres.
    therefore fraction numerator 7 pi k cubed over denominator 48 end fraction equals 473
    not stretchy rightwards double arrow k cubed equals fraction numerator 473 cross times 48 over denominator 7 end fraction cross times 7 over 22 comma text  taking  end text pi equals 22 over 7
    not stretchy rightwards double arrow k cubed equals fraction numerator 473 cross times 48 over denominator 22 end fraction
    not stretchy rightwards double arrow k cubed equals 43 cross times 24
    not stretchy rightwards double arrow k equals 10.11
    Final Answer:
    The value of k, in centimetres, is — D) 10.11

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