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Look at the cups shown below (images are not drawn to scale):


How many more cubic inches of juice will cup B hold than cup A when both are completely full? Round your answers to the nearest tenth.

Look at the cups shown below images are not drawn to scale How many more cubic inches of juice will cup B hold than cup A when both are completely full Round yo class=

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mathstudent55

Answer:

18.9 in.³

Step-by-step explanation:

volume of cone = (1/3)πr²h

volume of cylinder = πr²h

For both the cone and the cylinder,

r = d/2 = 2 in./2 = 1 in.

Cup A:

volume of cone = (1/3)πr²h

= (1/3)(π)(1 in.)²(3 in.)

= 3.1 in.³

Cup B:

volume of cylinder = πr²h

= (π)(1 in.)²(7 in.)

= 22.0 in.³

difference in volumes:

22.0 in.³ - 3.1 in.³ = 18.9 in.³

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