Question

13. find the volume of each composite figure to the nearest whole number

Answer 1

Explanation:

First, you need to be familiar with the volume equation for the object in question.

The equation is
`v= ((\pi r^2h)/(2))`

For the outer shape we are given the diameter (which is just r*2), making the radius 8

For the the first object the equation becomes
`(\pi(8^2)16)/(2)` which then comes out to 1608.49 which when rounded is 1608

Since we are to assume the shaded object is in the middle, we see that the distance from the shaded object to the other object is 4. So to find the radius of the shaded object we need to subtract 4 from the radius of the bigger object. The radius of the shaded object is 4

Using the same equation above we get that the volume is equal to
`(\pi 4^(2)8 )/(2)` which comes to 201.06 which when rounded is 201

If you need the outer object without the volume of the inner object just subtract 201 from 1608