The water glasses are filled to the same height and have the same radius.
Fill in the blanks:
a) It would take___ into glass A to fill up glass A. times filling up glass B and pouring
b) If the height of the glasses doubled, then the volumes would increase times____ (Hint: Use your formulas to substitute V = 1/3 * pi * r ^ 2 * h and V = pi * r ^ 2 * h)
c) If the radius of the glasses doubled, then the volumes would increase times_____ (Hint: Use your formulas to substitute V = 1/3 * pi * r ^ 2 * h and V = pi * r ^ 2 * h)
d) If the radius and the height both doubled, then the volumes would increase times_____ (Hint: Use your formulas to substitute V = 1/3 * pi * r ^ 2 * h and V = pi * r ^ 2 * h )
answers choices:
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two
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a) It would take two times filling up glass B and pouring into glass A to fill up glass A.
b) If the height of the glasses doubled, then the volumes would increase eight times (2^3).
c) If the radius of the glasses doubled, then the volumes would increase four times (2^2).
d) If the radius and the height both doubled, then the volumes would increase sixteen times (2^4).