Question

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)

Answer 1

A. 1/2(14)(10)(8) – π(2.5^2)(8)

Explanation:

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

Answer 2

(0.5)(14)(10)(8) – π(2.5²)(8)

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

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