Question

Find the volume of this composite solid. Note that the two rectangular prisms are identical.

Give your answer correct to 2 decimal places.

Answer 1

63,318.48 (cube units of some sort?)

Explanation:

First, I would split the shape into shapes with formula's to solve them. Let's start with the rectangular boxes on the ends of this dumbbell thing :

Formula for a rectangular prism : V = LWH

V = 21 x 28 x 47 = V = 27,636 (We're gonna multiply this volume by 2 since it states the prisms are identical.) 27,636 x 2 = 55,272

Formula for the volume of a cylinder : V = πr^2h (I assume we are substituting 3.14 for π?)

V = 3.14 x 16^2 x 10 = 8,038.4

All that's left is to add them all together! 55,272 + 8,038.4 = 63,318.48

Answer 2

`63314.48m^3`

Explanation:

`V=whl=28*47*21=27636m^3\\27636*2=55272m^3`(rectangular prism)

`V=\pi r^2h=\pi *16^2*10\\=8042.48m^3`(cylinder)

`55272+8042.48\\=63314.48m^3`(Whole shape)