Question
Curved surface area of a right circular cylinder of height 14 cm is 88 cm2. Find the volume of the cylinder.
Hint:
The CSA of a cylinder is
, where r and h are the base radius and height of the cylinder, respectively. The volume of a cylinder is given by,
.
The correct answer is: The volume of the cylinder is 44 cm3.
Explanations:
Step 1 of 2:
![text Given, end text 2 pi r cross times 14 equals 88](data:image/png;base64,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)
![not stretchy rightwards double arrow r equals 88 cross times 1 over 14 cross times 7 over 22 cross times 1 half](data:image/png;base64,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)
![not stretchy rightwards double arrow r equals 1](data:image/png;base64,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)
Step 2 of 2:
We have r = 1 cm and h = 14 cm
The volume of the cylinder is
![equals pi cross times 1 squared cross times 14](data:image/png;base64,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)
cm3
Final Answer:
The volume of the cylinder is 44 cm3.
Related Questions to study
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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)
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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?
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,iVBORw0KGgoAAAANSUhEUgAAAKgAAAANCAYAAAA9miXpAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAphJREFUeNrtWD1IHFEQXkQkhQghXBEs0oiIhQQkhCAiB3IEkUOEIGJ5YCEpUqQLQcTGUiyEI4Qrgo0ECwu7Q0QsDiRIChFBrCxsLETkOAKbb2CEY32/s7vHLjrwNfNmZndnvp037wXBY2kCIeMO2AaKQfakD9gEGowq65Lw8Yk9CHwHThzfe5pzq5N3nPNbrsUuMNG23gW02mqkQovtkhTf7/TxcY49EDHqASaBS2A4YwStA+VI4esJ+fjE/gUsWkj3IL3AqcF2kQk52PajLACHluKedCDfPt/p6+McewbYUugrwNcMkfMTsKHQrwPzMX0ksQPHwlU5lypbagDHglzMampmk1CY+zBFH6vdsoaIa8DnDBH0N1BS6Iu8FsdHEtsluWNtXTjUkHdekIsVYfPIJUG3I1sbSQE4B14pgtmQltzw+BEV0l3H9JHEtiWXfP8Cbwy2Z8Br4c9afioEPY8kaRQ4yuAh6Z9hrRXTRxLbltzoDhRqDqc0T+4A9/ysY55BTXIhJHbuCNrFxQm5ixAxV4Uf7/Piki5sIlEzpo8ktim5I5xLmy3p/gBTQDfXY4ybxpImdjfftKSZ68wQ9D2w3wFyJSHXmm34hWEbdvWRxDYlt8G3IzZbulbqV+jfAlea2B88a5brDkoDei3Ih9Dc9VGhL1kOSS4+ktim5Lr+xHuB/u6ylULNckfQDb6LyoPQ1coPhb5mOAm7+khi+xZOZUvb+JxCP8RdWFezylMh6A7PP3kR2tq+8BxGW/I34EDTvXx8fOySJGgPP6PCz30Yu+j0P5lCzZImaGhZi/1ONzxn5UVeAj/54EKnXrpH7LUkzcXHxy4Qzt46mwJ37zs+rBFhxzNSM9t3mnShA4E7dX55lmdJTv4DAu4pkoWUAL4AAACVdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1pPlA8L21pPjxtbz49PC9tbz48bW8+JiN4MjIxMjs8L21vPjxtbj4wLjAwMTQ2PC9tbj48bWk+VDwvbWk+PG1vPis8L21vPjxtbj4xLjExPC9tbj48L21hdGg+ixfkfgAAAABJRU5ErkJggg==)
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.
The budget for a school band was
in 2010 . The budget decreased by
from 2010 to 2011 and then increased by
from 2011 to 2012 . Which of the following expressions represents the budget, in dollars, for the school band in 2012?
Note:
The concept of percentages can be a little tricky. But we just need to remember a few basic things to get going. This is the standard way of finding the value after increasing or decreasing a quantity by a certain percentage
The budget for a school band was
in 2010 . The budget decreased by
from 2010 to 2011 and then increased by
from 2011 to 2012 . Which of the following expressions represents the budget, in dollars, for the school band in 2012?
Note:
The concept of percentages can be a little tricky. But we just need to remember a few basic things to get going. This is the standard way of finding the value after increasing or decreasing a quantity by a certain percentage