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What is the relationship between the volumes of two different cylinders that have the same volume?
If two cylinders have the same volume, it means that the amount of space inside each cylinder is equal. This relationship is based on the formula for the volume of a cylinder, which is V r2h, where r is the radius and h is the height. So, even if the cylinders have different dimensions, their volumes will be the same if the product of their radius squared and height is equal.
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How can two objects have different volumes but have the same density?
Two objects can have different volumes but the same density if they are made of different materials. Density is a measure of how much mass is packed into a certain volume, so objects with different volumes can still have the same density if their masses are adjusted accordingly.
What is the relationship between pressure force and volume?
The relationship between pressure, force, and volume is described by Boyle's Law. Boyle's Law states that when the volume of a gas decreases, the pressure increases, and when the volume increases, the pressure decreases, assuming constant temperature. This relationship shows that pressure and volume are inversely proportional.
Do equal volumes of different substances have equal weights?
No, it depends on the specific gravity (or relative density) of the substance. E. g. Compare the weighs of 1 cubic metres of cork and iron.
What is the formula to volume of a composite figure?
To find the volume of a composite figure, you would need to break it down into simpler shapes (such as cubes, prisms, cylinders, etc.), calculate the volume of each individual shape using its respective formula, and then add or subtract the volumes of the individual shapes to find the total volume of the composite figure.
Did albert einstein invent the graduated cylinder?
No, Albert Einstein did not invent the graduated cylinder. It was actually invented by Joseph von Fraunhofer, a German physicist, in 1817. Graduated cylinders are used in laboratories to measure liquid volumes accurately.
If two cylinders are similar and the ratio between the altitude lengths is 23 what is the ratio of their volumes?
The ratio of their volumes is 23^3 = 12167.
If two cylinders are similar and the ratio between the alititude lengths is 2 to 3 what is the ratio of their volumes?
If two cylinders are similar, the ratio of their volumes is the cube of the ratio of their corresponding linear dimensions. Given that the ratio of the altitudes (heights) of the cylinders is 2 to 3, the ratio of their volumes is ( \left(\frac{2}{3}\right)^3 = \frac{8}{27} ). Thus, the ratio of the volumes of the two cylinders is 8:27.
If two cylinders are similar and the ratio between the altitude lengths is 2 3 what is the ratio of their volumes?
8 27
If two cylinders are similar and the ratio between the lengths of their edges is 3 11what is the ratio of their volumes?
The ratio is 27 : 1331.
Are graduated cylinders accurate for measuring liquid volumes?
Yes, graduated cylinders are accurate tools for measuring liquid volumes due to their precise markings and calibrated scales.
What relationship are there between the mass of a sinking objectand the volume of water displaced?
There is no relationship between the mass of a sinking objectand the volume of water displaced.Their volumes are equal though .
How are the volumes of the prisms related?
The volumes of prisms are calculated using the formula ( V = B \times h ), where ( V ) is the volume, ( B ) is the area of the base, and ( h ) is the height of the prism. This means that the volume is directly proportional to both the area of the base and the height. Different prisms with the same base area and height will have equal volumes, while variations in either dimension will result in different volumes. Thus, the relationship between the volumes of prisms depends on their base area and height.
What is the ratio for the volumes of two similar cylinders given that the ratio of their heights and radii is 23?
For two similar cylinders, the ratio of their volumes is the cube of the ratio of their corresponding linear dimensions, such as height and radius. Given that the ratio of their heights and radii is 23, the volume ratio will be (23^3). Therefore, the ratio of the volumes of the two cylinders is (23^3:1), which equals (12167:1).
Who uses a graduated cylinder?
Chemists use graduated cylinders to measure volumes of liquids.
Two similar cylinders have radii of 7 and 1 respectively. What is the ratio of their volumes?
343:1
Two similar cylinders have radii of 7 and 1 respectively What is the ratio of their volumes?
343:1
What is relationship between cone and sphere?
Actually seeing the relationship between the volumes of a cone (one-third of a cylinder) and a sphere (two-thirds of a cylinder) is hard to beat. The cylinder is 1/3 the volume of the cone
