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

8.8 cubic inches
10.1 cubic inches
14.7 cubic inches
22.3 cubic inches

How many more cubic inches of juice will cup B hold than cup A when both are completely-example-1

1 Answer

3 votes

Answer:

C. 14.7 cubic inches

Explanation:

We are given two cups A and B resembling a cone and a cylinder respectively.

Cup A: The radius of the base circle = 1 inch and the height of the cone = 4 inch

Thus, the volume of the cone =
(\pi r^(2)* h)/(3)

i.e. Volume of the cone =
(\pi 1^(2)* 4)/(3)

i.e. Volume of the cone =
(4\pi)/(3)

i.e. Volume of the cone = 4.19
inch^(3)

The cup A holds 4.19 cubic inches of juice.

Cup B: The radius of the base circle = 1 inch and the height of the cylinder = 6 inch

So, the volume of the cylinder=
\pi r^(2)* h

i.e. Volume of the cylinder=
\pi 1^(2)* 6

i.e. Volume of the cylinder=
6\pi

i.e. Volume of the cylinder= 18.85
inch^(3)

Thus, cup B holds 18.85 cubic inches of juice.

So, the difference in the volume = 18.85 - 4.19 = 14.66
inch^(3)

Hence, cup B holds 14.66 cubic inches more juice than cup A.

User Yossile
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