CBSE  /  Class 9  /  Maths  /  Surface Areas and Volumes

  • 1. 
    If the perimeter of one of the faces of a cube is 40 cm, then its volume is:

  • 6000 cm³
  • 1600 cm³
  • 1000 cm³
  • 600 cm³

  • 2. 
    A cuboid having surface areas of 3 adjacent faces as a, b and c has the volume:

  • 3\(\sqrt{abc}\)
  • \(\sqrt{abc}\)
  • abc
  • (abc)²

  • 3. 
    The radius of a cylinder is doubled and the height remains the same. The ratio between the volumes of the new cylinder and the original cylinder is

  • 1 : 2
  • 3 : 1
  • 4 : 1
  • 1 : 8

  • 4. 
    Length of diagonals of a cube of side a cm is

  • √2a cm
  • √3a cm
  • \(\sqrt{3a}\) cm
  • 1 cm

  • 5. 
    Volume of spherical shell is

  • 8 cm³
  • 512 cm³
  • 64 cm³
  • 27 cm³

  • 6. 
    Volume of hollow cylinder

  • π(R² - r²)h
  • πR²h
  • πr²h
  • πr²(h<sub>1</sub> - h<sub>1</sub>)

  • 7. 
    The radius of a sphere is 2r, then its volume will be

  • \(\frac{4}{3}\) πr³
  • 4πr³
  • \(\frac{8}{3}\) πr³
  • \(\frac{32}{3}\) πr³

  • 8. 
    In a cylinder, radius is doubled and height is halved, curved surface area will be

  • halved
  • doubled
  • same
  • four time

  • 9. 
    The total surface area of a cone whose radius is \(\frac{r}{2}\) and slant height 2l is

  • 2πr(l + r)
  • πr(l + \(\frac{r}{4}\))
  • πr(l + r)
  • 2πrl

  • 10. 
    The radius of a hemispherical balloon increases from 6 cm to 12 cm as air is being pumped into it. The ratios of the surface areas of the balloon in the two cases is

  • 1 : 4
  • 1 : 3
  • 2 : 3
  • 2 : 1
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