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 (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)

7 answers

a) It would take 9 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 8 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.
there is only one 8 where do i put it?
Apologies for the confusion. Here are the correct answers:

a) It would take 9 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.
the options are

1

2

3

4

5

6

7

8

9

10
I apologize for the oversight. Let's re-evaluate the answers with the options provided:

a) It would take 9 times filling up glass B and pouring into glass A to fill up glass A. This corresponds to option 9.

b) If the height of the glasses doubled, then the volumes would increase 8 times. This corresponds to option 8.

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

d) If the radius and the height both doubled, then the volumes would increase 8 times. This corresponds to option 8.
for c and d where do i put the eight at because there is only 1 eight
My apologies for the confusion. Let's revise the answers according to the provided options:

a) It would take 9 times filling up glass B and pouring into glass A to fill up glass A. This corresponds to option 9.

b) If the height of the glasses doubled, then the volumes would increase 8 times. This corresponds to option 8.

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

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