A graduated cylinder has an initial volume of water of 25mL. A rock was dropped in the cylinder. The final volume in the cylinder containing the water and the rock is 36 mL. What is the volume of the rock? - i think the volume is 11 but im not sure... is that right?
2007-09-08 07:29:22 · 7 answers · asked by A. Powell 2 in Science & Mathematics ➔ Mathematics
thanks, i thought 11 was to obvious to be the answer :P
2007-09-08 07:35:37 · update #1
You are quite correct , volume of rock = 11 ml
2007-09-11 21:26:18 · answer #1 · answered by Como 7 · 1⤊ 0⤋
You really should stop complaining about how hard the problem is, or why you would need to know how to do it. It isn't really that hard. All you need to do is WRITE DOWN the GIVEN INFORMATION in a nice summary. We are given: Height H = 4 in Width W = 12 ft Volume of concrete installed per day: V = 3 yd^3/day Quantity of days of work for the project: n = 4 days We want to know: Length L OK, first and foremost. FORGET ABOUT THE DATA ITSELF. Just think about what it physically means. We don't care whether it is a 4 in thick slab or a 6 in thick slab, our strategy will be exactly the same. This is why I've attached a variable name to each quantity. Think in terms of the variable names FOR THE TIME BEING. Later on, we will plug in the values. We assume a simple rectangular slab, unlike my oddly shaped driveway. The volume of a rectangular prism is simply length*width*thickness: Vnet = L*W*H Simple? Of course it is. What is the total volume? Well, the number of days multiplied by the volume installed per day. Vnet = V*n Combine: V*n = L*W*H Solve for what we don't know: V*n = L*W*H V*n/W = L*H V*n/(W*H) = L L = V*n/(W*H) That is the length expressed in terms of volume installed per day (V), number of days (n), width (W), and slab height (H). Now is probably where your confusion arises, the fact that you are given a mix of units that are inconsistent with each other. And I get confused too. I think it is an unnecessary task that we shouldn't need to do...but my opinion cannot change the fact that we have measuring devices with a mixed set of units. It is time now, for you to pre-translate ALL given data to a common consistent set of units. I recommend inches, so that you have no decimals. I'll tell you a secret. Not much of a secret, but Google does this for you. Do a search on (): 3 yd^3 to in^3 and 12 ft to in And get: V = 139968 in^3 W = 144 in Now you can crunch the data: V = 139968 in^3/day W = 144 in n = 4 days H = 4 in Result: L = 972 inches And of course, you probably prefer that value in feet: L = 81 feet
2016-05-19 21:09:35 · answer #2 · answered by bettye 3 · 0⤊ 0⤋
Yes, you just subtract the difference of the water with the rock and the water without the rock to get the volume.
That is, as you said, 11 mL.
2007-09-08 07:34:35 · answer #3 · answered by Psylence 4 · 0⤊ 1⤋
36mL.-25mL=11mL. The volume of the rock is 11mL. So yes. By my calculations you are correct.
2007-09-08 07:33:52 · answer #4 · answered by Anonymous · 0⤊ 0⤋
Yes. It's straightforward.
2007-09-08 07:34:04 · answer #5 · answered by ironduke8159 7 · 1⤊ 0⤋
Correct!! You are using water displacement.
2007-09-08 07:34:01 · answer #6 · answered by Abby S. 2 · 0⤊ 0⤋
yes
2007-09-08 07:32:30 · answer #7 · answered by Anonymous · 0⤊ 0⤋