Question
Cylindrical vessel of diameter 9 cm has some water in it. A cylindrical iron piece of diameter 6 cm and height 4.5 cm is dropped in it. After it was completely immersed, find the rise in the level of water.
Hint:
If we recall the experiment of Archimedes, he told that if we put anything in water then the volume of the risen water will be equal to the volume of that thing. Here, we use this principle to solve the problem.
The correct answer is: The rise in the water is 2 cm.
Explanations:
Step 1 of 3:
Cylindrical vessel has base radius,
= 9/2 = 4.5cm and let the rise in water level due to putting the iron piece in the vessel be
cm.
The volume of the risen water
cm3
Step 2 of 3:
The cylindrical iron piece has base radius
= 6/2 = 3cm and height,
= 4.5 cm
Then the volume of the iron piece =
= cm3
Step 3 of 3:
According to the principle of Archimedes,
![pi 4.5 squared h subscript v equals pi 3 squared 4.5](data:image/png;base64,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)
![not stretchy rightwards double arrow h subscript v equals fraction numerator 3 squared over denominator 4.5 end fraction equals 2](data:image/png;base64,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)
Final Answer:
The rise in the water is 2 cm.
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![](data:image/png;base64,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)
During mineral formation, the same chemical compound can be come different minerals depending on the temperature and pressure at the time of formation. A phase diagram is a graph that shows the conditions that are needed to form each mineral. The graph above is a portion of the phase diagram for aluminosilicates, with the temperature t , in degrees
Celsius
, on the horizontal axis, and the pressure p , in gigapascals (G Pa), on the
Which of the following systems of inequalities best describes the region where sillimanite can form?
Note:
We do not have the exact inequalities in the option, so we choose the one from the options which is the closest approximation of the inequalities that we have calculated. There are a couple of formulas and concepts used here, such as the equation of a line passing through two points and the concept that the region below a line is given by replacing the equality sign with less than or equal to in the standard form of the equation and vice versa.
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)
During mineral formation, the same chemical compound can be come different minerals depending on the temperature and pressure at the time of formation. A phase diagram is a graph that shows the conditions that are needed to form each mineral. The graph above is a portion of the phase diagram for aluminosilicates, with the temperature t , in degrees
Celsius
, on the horizontal axis, and the pressure p , in gigapascals (G Pa), on the
Which of the following systems of inequalities best describes the region where sillimanite can form?
Note:
We do not have the exact inequalities in the option, so we choose the one from the options which is the closest approximation of the inequalities that we have calculated. There are a couple of formulas and concepts used here, such as the equation of a line passing through two points and the concept that the region below a line is given by replacing the equality sign with less than or equal to in the standard form of the equation and vice versa.
If two angles and the included side of one triangle are congruent to two angles and the included side of a second triangle, then the two triangles are congruent by
If two angles and the included side of one triangle are congruent to two angles and the included side of a second triangle, then the two triangles are congruent by
Solve:
and
by using elimination method.
Solve:
and
by using elimination method.
ABCD is a parallelogram of area 162 sq., P is the point on AB such that AP:PB = 1:2, calculate the area of Triangle APD and the ratio PQ:QD, where Q is the point of intersection of AC and PD
ABCD is a parallelogram of area 162 sq., P is the point on AB such that AP:PB = 1:2, calculate the area of Triangle APD and the ratio PQ:QD, where Q is the point of intersection of AC and PD
How many litres of water flows out through a pipe having an area of cross-section of 5 cm2 in one minute, if the speed of water in pipe is 30 cm/sec?
How many litres of water flows out through a pipe having an area of cross-section of 5 cm2 in one minute, if the speed of water in pipe is 30 cm/sec?
Curved surface area of a right circular cylinder of height 14 cm is 88 cm2. Find the volume of the cylinder.
Curved surface area of a right circular cylinder of height 14 cm is 88 cm2. Find the volume of the cylinder.
The sides of a parallelogram are 3cm and 2cm and the distance between two longer sides is 1.5cm. Find the distance between the shorter sides?
The sides of a parallelogram are 3cm and 2cm and the distance between two longer sides is 1.5cm. Find the distance between the shorter sides?
Solve:
and ![fraction numerator 15 over denominator x plus y end fraction minus fraction numerator 7 over denominator x minus y end fraction equals 10](data:image/png;base64,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)
Solve:
and ![fraction numerator 15 over denominator x plus y end fraction minus fraction numerator 7 over denominator x minus y end fraction equals 10](data:image/png;base64,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)
The cross section of a canal is atrapezium in shape. If the canal is 10m wide at the top and 6m wide at the bottom and the area of the cross section is 840 sq. m, find the depth of the canal ?
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The base radius of a cylinder is 5/3 times its height. The cost of painting its C.S.A. at 2 paise/cm2 is Rs 92.40. What volume of the paint is required?
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)
During mineral formation, the same chemical compound can beco me different minerals depending on the temperature and pressure at the time of formation. A phase diagram is a graph that shows the conditions that are needed to form each mineral. The graph above is a portion of the phase diagram for aluminosilicates, with the temperature t , in degrees Celsius
, on the horizontal axis, and the pressure p , in gigapascals (GPa), on the vertical axis.
![P equals negative 0.00146 T plus 1.11](data:image/png;base64,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)
An equation of the boundary line between the andalusite and sillimanite regions is approximated by the equation above. What is the meaning of the T-intercept of this line?
Note;
A phase diagram represents the different physical states of some substance under different conditions, such as termperature and pressure, graphically. It may seem like a complicated graph but we just needed to focus on the equation of one given line.
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)
During mineral formation, the same chemical compound can beco me different minerals depending on the temperature and pressure at the time of formation. A phase diagram is a graph that shows the conditions that are needed to form each mineral. The graph above is a portion of the phase diagram for aluminosilicates, with the temperature t , in degrees Celsius
, on the horizontal axis, and the pressure p , in gigapascals (GPa), on the vertical axis.
![P equals negative 0.00146 T plus 1.11](data:image/png;base64,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)
An equation of the boundary line between the andalusite and sillimanite regions is approximated by the equation above. What is the meaning of the T-intercept of this line?
Note;
A phase diagram represents the different physical states of some substance under different conditions, such as termperature and pressure, graphically. It may seem like a complicated graph but we just needed to focus on the equation of one given line.
Solve the system of equation by using elimination: ![2 over x plus 3 over y equals 1 text and end text 7 over x plus 4 over y equals 1 7 over 8](data:image/png;base64,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)
Solve the system of equation by using elimination: ![2 over x plus 3 over y equals 1 text and end text 7 over x plus 4 over y equals 1 7 over 8](data:image/png;base64,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)
Farmer Joe had 35 customers for the whole morning. He knew 20 of them. How many new customers did he meet today ?
Read the problem carefully multiple times in order to understand it.
Farmer Joe had 35 customers for the whole morning. He knew 20 of them. How many new customers did he meet today ?
Read the problem carefully multiple times in order to understand it.