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N76 [4]
3 years ago
12

Which expression represents the volume, in cubic units, of the shaded region of the composite figure? (14)(10)(8) – π(2.52)(8) (

14)(10)(8) + π(2.52)(8) (10)(8)(14) – π(2.52)(8) (10)(8)(14) + π(2.52)(8)

Mathematics
2 answers:
julia-pushkina [17]3 years ago
7 0

Answer:

A. 1/2(14)(10)(8) – π(2.5^2)(8)

Step-by-step explanation:

I took the test and this was the correct answer. Hope this helped!

Ipatiy [6.2K]3 years ago
3 0

Answer:

<u>(0.5)(14)(10)(8) – π(2.5²)(8)</u>

Step-by-step explanation:

The rest of the question is the attached figure.

The volume of the shaded region = volume of the prism - volume of the cylinder

The volume of the prism = The area of triangle * height

                                         = 0.5 * 10 * 14 * 8

The volume of the cylinder = The area of the circle * height

                                             = π r² h

                                             = π (5/2)² * 8 = π * 2.5² * 8

<u>So, The volume of the shaded region = (0.5)(14)(10)(8) – π(2.5²)(8)</u>

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__

<em>Alternate solution</em>

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