Answer:
9. C, II and III.
10. The correct answer is 944 cubic mm, as far as I can tell. I double checked my formulas and calculations. You can copy the formulas/calculations below and email your teacher. I have tried to figure out how they got the numbers they have. The best guess I can come up with is that they used 6 as the diameter of the cylinder, using 3 for the radius. That gets us closer, at 749 cubic mm, but not quite there.
Step-by-step explanation:
9. If the cylinder is standing upright, the horizontal cut would be a circle or oval, and the vertical cut could be a rectangle
10. First we'll get the volume of the base rectangle. Then we'll calculate the volume of a cylinder, then divide that part in half, because it's 1/2 a cylinder on top of a rectangular prism.
Volume of a rectangular prism:
V = (length)(width)(height)
= 11 x 9 x 6 = 594 cubic mm
Volume of a cylinder:
V = (pi)(radius)^2(height)
The radius = 1/2 the diameter of the circle...the diameter is 9, so the radius is 4.5
= (3.14)(4.5)(4.5)(11)
= 699.435
That would be for a full cylinder with radius 4.5 and height of 11. We have half of one, so 699.435/2 = 349.7175 cubic mm
Add the volume of the 1/2 cylinder to the volume of the rectangular prism:
349.7175 + 594 = 943.7175, rounded = 944...which is none of your answers :/
Sorry I couldn't give you an "A, B, C, D" answer, but I don't think any of those are correct.
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