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 = eâˆ’2x 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 360Â° 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. 4Ï€ / 5**

**2. Ï€/4 [1âˆ’ eâˆ’4]**

**3. 8 Ï€**

**4. 2Ï€/15**

**5. 14/3 Ï€m3**

**6. 1000 Ï€cm3**

Tags : Problem Questions with Answer, Solution , 12th Maths : UNIT 9 : Applications of Integration

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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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