Question

The water glasses are filled to the same height and have the same radius.

Fill in the blanks:
(4 points)
a) It would take
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 times
(Hint: Use your formulas to substitute V = 1½-½πr²h and V = πr²h)
c) If the radius of the glasses doubled, then the volumes would increase times
(Hint: Use your formulas to substitute V = ½-½πr²h and V = πr²h)
d) If the radius and the height both doubled, then the volumes would increase times
(Hint: Use your formulas to substitute V = ½³½πr²h and V = πr²h)

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Answer 1

[AI-generated answer — Bot GPT 3.5]

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 **four** times.

c) If the radius of the glasses doubled, then the volumes would increase **four** times.

d) If the radius and the height both doubled, then the volumes would increase **sixteen** times.