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 (blank) 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 (Blank). (Hint: Use your formulas to substitute V=1/3πr^2 h
and V=πr^2 h
)

c) If the radius of the glasses doubled, then the volumes would increase times (Blank) (Hint: Use your formulas to substitute V=1/3πr^2h
and V=πr^2 h
)

d) If the radius and the height both doubled, then the volumes would increase times (Blank) (Hint: Use your formulas to substitute V=1/3πr^2 h
and V=πr^2 h)

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Answer 1

a) It would take one time 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 eight times.