Home
Class 9
MATHS
The volume of a cylinder of radius r i...

The volume of a cylinder of radius `r` is `1/4` of the volume of a rectangular box with a square base of side length `xdot` If the cylinder and the box have equal heights, what is `r` in terms of `x ?` (a) `(x^2)/(2pi)` (b) `x/(2sqrt(pi))` (c) `(sqrt(2x))/pi` (d) `pi/(2sqrt(x))`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • SURFACE AREA AND VOLUME OF A CUBOID AND CUBE

    RD SHARMA ENGLISH|Exercise All Questions|168 Videos
  • SURFACE AREA AND VOLUME OF A RIGHT CIRCULAR CYLINDER CONE

    RD SHARMA ENGLISH|Exercise All Questions|129 Videos

Similar Questions

Explore conceptually related problems

If 4\ cos^(-1)x+sin^(-1)x=pi , then the value of x is (a) 3/2 (b) 1/(sqrt(2)) (c) (sqrt(3))/2 (d) 2/(sqrt(3))

The height h of cylinder equals the circumference of the cylinder. In terms of h , what is the volume of the cylinder? (a) (h^3)/(4pi) (b) (h^2)/(2pi)\ (c) (h^3)/2 (d) pih^3

If the area of a square is same as the area of the circle, then the ratio of their perimeters, in terms of pi , is (a) pi\ :sqrt(3) (b) 2\ :sqrt(pi) (c) 3\ :pi (d) pi\ :sqrt(2)

If the height of a cylinder is doubled, by what number must the radius of the base be multiplied so that the resulting cylinder has the same volume as the original cylinder? (a) 4 (b) 1/(sqrt(2)) (c) 2 (d) 1/2

If f(x)=sqrt(1+cos^2(x^2)),t h e nf^(prime)((sqrt(pi))/2) is (a) (sqrt(pi))/6 (b) -sqrt(pi//6) (c) 1//sqrt(6) (d) pi//sqrt(6)

The area of a square is equal to the area of a circle. The ratio between the side of the square and the radius of the circle is (a) sqrt(pi):1 (b) 1:sqrt(pi) (c) 1:pi (d) pi:1

sin^(-1)(sin5)> x^2-4x hold if (a) x=2-sqrt(9-2pi) (b) x=2+sqrt(9-2pi) (c) x >2+sqrt(9-2pi) (d) x in (2-sqrt(9-2pi),2+sqrt(9-2pi))

The solution for x of the equation int_(sqrt(2))^x(dt)/(tsqrt(t^2-1))=pi/2 is pi (b) (sqrt(3))/2 (c) 2sqrt(2) (d) none of these

The value of lim_(xrarr(pi)/(4)) (sqrt(1-sqrt(sin2x)))/(pi-4x) is

The value of (lim)_(nvecoo)(tan^(-1)x))) is equal to -1 (b) pi/2 (c) -1/(sqrt(2)) (d) 1/(sqrt(2))

RD SHARMA ENGLISH-SURFACE AREA AND VOLUME OF A RIGHT CIRCULAR CYLINDER-All Questions
  1. In a cylinder, if radius is doubled and height is halved, curved sur...

    Text Solution

    |

  2. Two cylindrical jars have their diameters in the ratio 3:1, but heig...

    Text Solution

    |

  3. The number of surfaces in right cylinder is (a) 1          (b)  2  ...

    Text Solution

    |

  4. Vertical cross-section of a right circular cylinder is always a (a)...

    Text Solution

    |

  5. If r is the radius and h is height of the cylinder the volume will...

    Text Solution

    |

  6. The number of surfaces of a hollow cylindrical object is (a) 1      ...

    Text Solution

    |

  7. If the radius of a cylinder is doubled and the height remains same, ...

    Text Solution

    |

  8. If the height of a cylinder is doubled and radius remains the same, ...

    Text Solution

    |

  9. In a cylinder, if radius is halved and height is doubled, the volum...

    Text Solution

    |

  10. If the height of a cylinder is doubled, by what number must the radi...

    Text Solution

    |

  11. The volume of a cylinder of radius r is 1/4 of the volume of a rec...

    Text Solution

    |

  12. The height h of cylinder equals the circumference of the cylinder. In ...

    Text Solution

    |

  13. A cylinder with radius r\ and height h is closed on the top and bot...

    Text Solution

    |

  14. The height of sand in a cylindrical-shaped can drops 3 inches when 1...

    Text Solution

    |

  15. If the diameter of the base of a closed right circular cylinder be e...

    Text Solution

    |

  16. A right circular cylindrical tunnel of diameter 2m and length 40m is...

    Text Solution

    |

  17. Two sheet sheets each of length a1 and breadth a2 are used to pr...

    Text Solution

    |

  18. Two circular cylinder of equal volume have their heights in the rati...

    Text Solution

    |

  19. The radius of a wire is decreased to one-third. If volume remains t...

    Text Solution

    |

  20. The altitude of a circular cylinder is increased six times and the ...

    Text Solution

    |