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

Question

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

a) It would take 2 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 4 times.

c) If the radius of the glasses doubled, then the volumes would increase 4 times.

d) If the radius and the height both doubled, then the volumes would increase 8 times.