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You have two cylindrical tanks. The tank with the greater volume is 1.20 times the height of the smaller tank. It takes 218 gallons of water to fill the larger tank and 150 gallons to fill the other. What is the ratio of the radius of the larger tank to the radius of the smaller one?

1.10

Physics 101 Mechanics

Chapter 2

Motion along a Straight Line

Physics Basics

Motion Along a Straight Line

Motion in 2d or 3d

Newton's Laws of Motion

Cornell University

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the volume office cylinder off. The ideas are and hide. It is given by Bye Osgood. Manage. So for the large tank, Scarlett we lodge are simply the it's calling me and the big this is equal to buy our scratch. I'm such a on for the smaller bank. This will be Quinto Same expression that alias our guests and height at s. Now let's divide the corresponding sites of these two questions. So we will have be and over the s. I'm going to buy Honest God etch Oh, by honest strategists and this lives on and proven on s pull scared physically, Despont. Bye bye, Gansa Zod. And we have the issue off that Elmo Mattis as well. Now in the question we have given the end to be equal to 200. Ain't nothin on DH. The S is given to the equal door 1 50 So let's like that. So the is this 1 50 desire in unions off gallants. Also, we have at El over at us to be equal to 1.2. Now we will lose thiss values in this equation. So we have the over Yes, which is a kind of 18 over 1 50 to the equal dough. Let's write a djellaba lettuce wass. That's 1.2 and we have the ratio of the described off the issues she off the radius. So from this equation, they can find I'll allover Artois to the guy, do 218 for my 1 50 times 1.2 and mean take square root. This is a fact two in the Polish And we get this value, Toby one point line signal. So this means that the larger radius is 10% larger than this morning radius. We can prove it. So the bar saying age Ah, the larger ideas in speaker will be given by r l minus R s over s So this will be equal aunt and all but a CZ minus one. Hey, so we found that this is 1.10 minus one. So this is it, then on DH, this's equal do cedar 0.10 Now, in order to find the percentage you have too much deflate the 100. So he had the Stynes stairs and this is in contravention

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