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Answer:

A, 61.9 inches

Step-by-step explanation:

First, you need to find the volume of each of the water bottles. The volume of the larger water bottle is [tex]\pi \cdot 1.5^2 \cdot 10 \approx 70.7[/tex]. Since the two water bottles are similar, if the base is twice smaller for the second water bottle then so will the rest of the proportions. Because this is a 3D object, it will be [tex]2^3=8[/tex] times smaller in terms of volume, giving it a volume of about 8.8. 70.7-8.8 is about 61.9 cubic inches, or answer choice A. Hope this helps!

Answer:

247.5 cubic inches

Step-by-step explanation:

Formula for cylinder: [tex]\pi r^{2} h[/tex]

First bottle:

Height = 10 Radius = 3

Using the formula you get 282.74

Second bottle:

Height = 5 Radius = 1.5

Using the formula you get 35.34

Here we are looking for the difference between them so you subtract:

282.76 - 35.34 = 247.5

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