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Problem Questions with Answer, Solution - Exercise 9.9: Volume of a solid obtained by revolving area about an axis | 12th Maths : UNIT 9 : Applications of Integration

Chapter: 12th Maths : UNIT 9 : Applications of Integration

Exercise 9.9: Volume of a solid obtained by revolving area about an axis

Maths Book back answers and solution for Exercise questions - Mathematics : Applications of Integration: Volume of a solid obtained by revolving area about an axis - Exercise Problem Questions with Answer, Solution

EXERCISE 9.9

1. Find, by integration, the volume of the solid generated by revolving about the x-axis, the region enclosed by y = 2x2 , y = 0 and x = 1.


2. Find, by integration, the volume of the solid generated by revolving about the x-axis, the region enclosed by y = e2x y = 0, x = 0 and x = 1


3. Find, by integration, the volume of the solid generated by revolving about the y-axis, the region enclosed by x2 = 1+ y and y = 3 .


4. The region enclosed between the graphs of y = x and y = x2 is denoted by R, Find the volume generated when R is rotated through 360° about x-axis.


5. Find, by integration, the volume of the container which is in the shape of a right circular conical frustum as shown in the Fig 9.46.



6. A watermelon has an ellipsoid shape which can be obtained by revolving an ellipse with major-axis 20 cm and minor-axis 10 cm about its major-axis. Find its volume using integration.


Answers:

1. 4π / 5

2. π/4 [1− e−4]

3. 8 π

4. 2π/15

5. 14/3 πm3

6. 1000 πcm3

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12th Maths : UNIT 9 : Applications of Integration : Exercise 9.9: Volume of a solid obtained by revolving area about an axis | Problem Questions with Answer, Solution

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12th Maths : UNIT 9 : Applications of Integration


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