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The two cylinders are similar - they are of corresponding shapes but one is x times bigger than the other. If a cylinder is x times bigger in a single dimension, it will be x2 times greater in measurements involving two dimensions (i.e. area) and x3 times bigger in three dimensions (volume). Here, the ratio in two dimensions is 50pi / 18pi. This cancels to 25/9. So in terms of area, one is 25/9 times larger. x2 = 25/9
So x = sqrt25/sqrt9 = 5/3
and x3 = 53/33 = 125/27 (If you prefer, one can just write (25/9)3/2 = 125/27) In terms of volume, then, the big cylinder is 125/27 times bigger. Multiply this ratio by the volume of the small cylinder... 54pi x 125/27 cancels to 2pi x 125 = 250pi cm3. ...and you have the volume of the big cylinder. (It's tidiest to leave the answer in terms of pi.) This is just a question about scale factors, and the identity of the objects as cylinders is irrelevant, because they are similar. The way in which the figures neatly cancel without producing any horrendous decimals suggests that this question came from a textbook or an exam paper.
What else can I help you with?
There are two mathematically similar cylinders The smaller of the two has a diameter of 5 cm and a volume of 100 cm The larger has a diameter of 10 cm What is it's volume?
200
What is the similarity ratio of the smaller to the larger similar cylinders S. A. 48 pi sq and S.A. 75 pi m sq?
It appears to be: 16 to 25 but only if the cylinders are 48*pi*m^2 and 75*pi*m^2
Is a small cylinder or a large cylinder more accurate?
smaller
What is shape is a cylinder cut in half?
a smaller cylinder when cut horizontally. A semi-circle when cut vertically
The two cones below are similar. What is the height of the smaller cone?
15/7 APEX
How many cylinders is 2700cc?
2700cc is the displacement of the engine. Typically, the higher the displacement, the more cylinders the engine will have. 2.7 liters (which is 2700cc) would make for a larger 4 cylinder engine, or a smaller 6 cylinder engine. Though it would be rare, it would be a good size for a 5 cylinder engine. Other configurations are possible also.
Why 8 cylinders are present in an engine?
First of all not engines have 8 cylinders, there can be both fewer and more of them. But 8, particularly in a V-formation has turned out to be a fairly useful configuration. If you want the same power from a smaller number, the cylinders have to be bigger, which means that you have to build them stronger. If you wanted the same power from more cylinders, you could build each cylinder smaller, but you'd need more parts that have to fit together just right. On top of that, with 8 cylinders, you get a nice distribution of the power contribution from each cylinder, making the engine run smoothly. With fewer cylinders, each power push will be further apart, making it a bit jerky...
Difference between thin and thick cylinder?
A thin cylinder has a wall thickness significantly smaller than its radius, while a thick cylinder has a wall thickness comparable to or larger than its radius. Thin cylinders typically use simpler stress analysis assumptions, whereas thick cylinders require more complex stress analysis methods to account for the effect of the thicker walls.
Why do multi-cylinder engines have smaller flywheels than single-cylinder engines?
it is economical The power events occur more often with more cylinders. That then doesn't require a heavy flywheel to keep the engine rotating smoothly.
Do graduated cylinders measure liquids with the same precision?
Graduated cylinders can have different levels of precision based on their markings. The precision of a graduated cylinder is typically indicated by the smallest division or graduation that can be reliably read. Higher precision cylinders will have smaller graduations, allowing for more precise measurements.
What MC mean on acetylene regulator?
"MC" on an acetylene regulator usually refers to the type of cylinder it is designed to be used with. In this case, "MC" stands for "medium duty cylinder," which is a smaller sized acetylene cylinder compared to larger industrial cylinders. The regulator is specifically designed to fit and work with MC-sized acetylene cylinders.
There are two mathematically similar cylinders The smaller of the two has a diameter of 5 cm and a volume of 100 cm The larger has a diameter of 10 cm What is it's volume?
200
What is the similarity ratio of the smaller to the larger similar cylinders S. A. 48 pi sq and S.A. 75 pi m sq?
It appears to be: 16 to 25 but only if the cylinders are 48*pi*m^2 and 75*pi*m^2
What is the thin bone lateral to the tibia?
The fibula is the thinner bone lateral to the tibia. The fibula is the smaller bone of the lower leg.
What is one advantage of using a 100 milliliter graduated cylinder?
One advantage of using a 100 milliliter graduated cylinder is that it allows for more precise measurements of volume compared to smaller graduated cylinders. This larger size reduces parallax errors and allows for easier reading of the meniscus.
Is a small cylinder or a large cylinder more accurate?
smaller
Explain how a hydraulic lift operates?
A hydraulic lift operates by using a system of fluid-filled cylinders to raise or lower a platform. When force is applied to a smaller cylinder filled with fluid, it creates pressure that is transmitted through the fluid to a larger cylinder, resulting in the lifting or lowering of the platform.
