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tatuchka [14]
2 years ago
12

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

Mathematics
1 answer:
Kruka [31]2 years ago
5 0

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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