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5. Given a container that is 4.00 ft by 7.00 ft that is filled with water 8.00 inches deep What is the volume of water in liters? (1 cubic centimeter CC cm} =1mL) (...

Question

5. Given a container that is 4.00 ft by 7.00 ft that is filled with water 8.00 inches deep What is the volume of water in liters? (1 cubic centimeter CC cm} =1mL) (2 pts )6. How many 50.0 mL syringes could you fill up given the volume of water in the container described above? (2 pts:)

5. Given a container that is 4.00 ft by 7.00 ft that is filled with water 8.00 inches deep What is the volume of water in liters? (1 cubic centimeter CC cm} =1mL) (2 pts ) 6. How many 50.0 mL syringes could you fill up given the volume of water in the container described above? (2 pts:)



Answers

A house is 50.0 $\mathrm{ft}$ long and 26 $\mathrm{ft}$ wide and has 8.0 $\mathrm{ft}$ -high ceilings. What is the volume of the interior of the house in cubic meters and in cubic centimeters?

So this problem has a little bit of a trick thrown into it. We have one leader of liquid, 400 cc's of which is a chemical. We want to dilute that liquid with water. Want to dilute that liquid with water so that we only have 25% of the chemical. So the trick here is we need to change this 400 cc's to a percent, and in your problem, you'll see that 1000 CC's makes a leader. So 400 cc's is 40% of the leader. So now that we've done that, this is just like all the rest of our problems. So we don't know how much water we have to add. That's X, but we know we're going to have one plus X total liquid left once we combine these two. So there's our equation. We now just need to change our percents two decibels, do our multiplication and then go ahead and solve for X. So let's go ahead and get the whole equation written. Make sure our calculators air fired up 0.4 times. One is just 10.40 times x zero and then we need to go ahead and distribute the 0.25 So that gives us 0.25 plus 0.25 x subtract 0.25 from both sides. That's going to give us 0.15 equals 0.25 X. Now I go ahead and divide by 0.25 divided by 0.25 And if I've put that into my calculator 0.15 divided by 0.25 is 0.6, so X equals 0.6, and that's how much water you're going to have to add to dilute your solution.

Okay. Usually I try drawing pictures to help me visualize the problem, even though my pictures air. Usually not that great. Okay, so this is supposed to be your swimming pool. We're told that our swimming pool is 7.5 feet deep. It is 65 feet long and it is 42 feet wide. The volume is going to be length times with times height. So the length 65 feet, the width is 42 feet. Height is 7.5 feet. It really doesn't matter the order that you multiply those in, you'll get the same answer. So multiplying 65 times 42 times 7.5 gives us 20475 feet cubed. Whenever we have volume. It's cube because you have feet times, feet times, feet. So feet cubed the next step. The problem from the book is specifically asking. They want to know What is this answer in inches cute, not in feet. So we're now going to have to convert this. We know that in one foot there are 12 inches. So we're gonna use are given and are given is the answer that we calculated 20 for 75 You put your given over one. And don't forget your units. You always need thumb. Otherwise everything becomes very confusing very quickly. Don't let the cube bother you. You can just think of it as part of the name for foot. Okay, We're not going to do anything specific with it. That just tells us that we're working with volume. Multiply and set up for your next fraction. I see feet cute is in the numerator, so that means feet cubed is going to go into the denominator, which means that inches cubed will be in the numerator. So because feet is cube, I can go ahead and say that interest is cute. Now I look and see the number one is next two feet. So one goes in the denominator. The number 12 is next. Two inches of the number 12 goes in the numerator feet. We can cross off inches is what I am looking for. So that means I'm ready to multiply across So I multiply the top row 20475 times 12 gives me 24 5700 Multiply in the bottom one times one is one and as we know that anything divided by one is itself. So 245700 divided by one is itself. We know that our unit is inches cubed because that was in the numerator, and that is what we're asking. Four significant figures. You don't want to look at anything that you've calculated. You always want to go back to the beginning. There were two significant figures in height. Two significant figures in lengths, two significant figures in wit. So that means our answer must have two significant figures. So we're gonna have two rounds after the four in regular math. They usually say that five and anything after you round up. But it's a little bit different in chemistry, especially when we deal with very small numbers. So when we have five, we need to look at the number before it. Okay, the number. If it's even, you're going to keep it the same. If it's odd, we're going to round up. So now we know that our answer will be to four. And don't forget, you need to bring these down a zeroes. If you don't, it'll make your answer wrong with your unit. And she's cubes 240,000 inches. Cute

Were given the dimensions of a cylindrical settling tank to find the volume of a cylinder, we use the formula V. Is equal to pi r squared H Hi is equal to 3.1416. We're told that the radius of the tank is at 15.0 feet squared. The depth of the tank which should be equivalent to the height is 5.0 ft. Therefore, to two significant figures, the volume of the tank is equal to 3.5 times 10 to the third cubic feet. Now we need to convert this Into leaders. So 3 5 Times 10 to the 3rd cubic feet. one ft equivalent to 12". It will be cubed One inch to go into 2.5. 4 cm. Also be cute, one centimetre cubed is equivalent to one millimeter and one leader is equivalent to 10 to the minus three leaders and nursery. One middle leader on the bottom One mil leader is 10 to the -3 leaders and in leaders this works out to 9.9 times 10 to the fourth leaders, and so this would be the volume of the cylindrical settling tank in leaders.

We have a number 45 in which there is a, uh, water tank in conical shape. Okay, who's high days? Height of the corn is 11 ft and radius is 5 ft. We have to find the volume of the water in the tank. When the water is 6 ft deep, what is 6 ft deep? So from this distance here to hear becomes 6 ft. So the height off the water will be 11 minus six. That is 5 ft. Volume off water will be fire Squire at by three by r squared at by three or one bad repair of courage. So till now, we have a sequel. Toe. Okay, 5 ft. We need to find the radius here. Okay. Now, to get this radius, let us say R one or R. We have to just use the the fundamental off similar triangles in Django, this bigger triangle and this smaller triangle. So these two tangles will be similar triangles, as this angle is common in both, Uh uh, This anger is common in both the triangles that is strangled o a b and what we say. Oh, a b and all. Mm. And so in jungle or a B and all m n angle a girl. Okay, a b a b o is Congress to ankle M B n and one more. One more angle will be the congruent as thes two are parallel and this will be the corresponding angle. So angle o a b oh, a b will be congruent to angle and m be so Triangle o A b will be similar toe triangle o m and by angle angle criteria. Now, if this is similar so the sides will be proportion size side will be in proportion. So we should, right? Oh, a by an m Oh, a by Okay. Oh Mm. MBN. I have written a long triangle, I think. Here. Oh, a B and an m b N m b. Okay. Jangle n m b yes, decisively in proportion. So a by N m Oh, a by an EMP will be equal toe obe by and be okay, I will be by and be okay, so or we have five. That given radius is five enemies are equal toe obi is 11 ft and B is five. Okay, so are will be equal toe 25 by 11 ft now for live will become one by three by our square, That is 25 11 whole Squire toe edge, that is five. Oh, Gay. So this will be won by three. And to buy in to 625 5 121 into five. Now we have to use the calculator for this. So this will be a 27 point zero for five. The volume of water will approximately be 27 point zero file. There are five cubic feet. Okay, so this is an answer. Thank you.


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