Question

@directrix

Answer 1

This is quite hard.

Answer 2

What is the volume of just the cube?

Answer 3

216

Answer 4

Good.

Look at the right cylinder on top.

What is its height --> 2/3 of 6 = ?

Answer 5

@shaleiah

2/3 of 6 = ?

We need that for the height of the cylinder.

Answer 6

4

Answer 7

Good.

Now, we need the radius of the circular bases of the cylinder.

Answer 8

Look carefully at the diagram.

Do you think that the 2 on the cylinder means that the radius of the circle is 2 or the diameter of the circle is 2?

Do you see a dot on the diagram for the center of the circle?

Answer 9

Diameter of the circle

Answer 10

Okay. If the diameter is 2, then the radius is 1.

The volume of the cylinder is found from this formula:

V = pi * r^2 * h

V = pi * 1^2 * 4

V = ?

Answer 11

Do you have answer options? If so, look and see if the value of pi was approximated.

Answer 12

You are doing this:

pi * 1^2 * 4 =

Answer 13

12.566

Answer 14

No answer choices

Answer 15

"to the nearest hundredth of a
cubic inch"

Answer 16

Okay. Let me see what I get.

Answer 17

12.56 cubic inches for the cylinder (using 3.14 to approximate pi)

216 cubic inches for the cube.

12.56 + 216 = ?

Answer 18

228.56

Answer 19

I ran this through using more digits of pi and got 228.566 which would be 228.57 to the nearest hundredth of a cubic inch.

But, I think you are probably told to use 3.14 for pi which would give the answer you got:

228.56

So, I would go with that.

Answer 20

228.56 cubic inches, that is.

Answer 21

What is going on here with your problem:

http://openstudy.com/study#/updates/56c24b22e4b0548ff6139c39