Home
Class 12
MATHS
The region enclosed between the graphs o...

The region enclosed between the graphs of `y =x ` and `y = x^(2)` is denoted by R, Find the volume generated when R is rotated through `360^(@)` about x - axis.

Text Solution

Verified by Experts

The correct Answer is:
`(2pi)/(15)` cubic units.
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF INTEGRATION

    FULL MARKS|Exercise EXERCISE 9.10|20 Videos
  • APPLICATIONS OF INTEGRATION

    FULL MARKS|Exercise ADDITIONAL PROBLEMS|35 Videos
  • APPLICATIONS OF INTEGRATION

    FULL MARKS|Exercise EXERCISE 9.8|10 Videos
  • APPLICATIONS OF DIFFERENTIAL CALCULUS

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED|56 Videos
  • APPLICATIONS OF MATRICES AND DETERMINANTS

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED|56 Videos

Similar Questions

Explore conceptually related problems

The area of the region (s) enclosed by the curves y=x^2 and y=sqrt|x| is

Find the volume of the solid generated by an arch of the curve y=sin2x about x axis .

Find the area enclosed between the circles x^(2) + y^(2) = 4 and (x - 2)^(2) + y^(2) = 4 .

Find the area enclosed by the graph of y=log_(e)(x+1), y-axis, and the line y=1

The area of the region enclosed by y=x^2 and y=sqrt(|x|) is

Find the area enclosed between the curves: y = log_e (x + e) , x = log_e (1/y) & the x-axis.

the volume generated when the region bounded by y=x, y=1, x=0, is rotated about y-axis is …..

The area enclosed between the curve y^(2)(2a-x)=x^(3) and the line x=2a above the x-axis is

The area of the region bounded by the graph of y =sin x and y = cos x between x = 0 and x= ( pi)/( 4) is