CBSE  /  Class 10  /  Maths  /  Surface Areas and Volumes

  • 1. 
    The surface areas of two spheres are in the ratio 1 : 2. The ratio of their volume is:

  • √2 : 1
  • 1 : 2√2
  • 1 : 8
  • 1 : 4

  • 2. 
    The radius of spherical balloon increases from 8 cm to 12 cm. The ratio of the surface areas of balloon in two cases is:

  • 2 : 3
  • 3 : 2
  • 8 : 27
  • 4 : 9

  • 3. 
    Two cubes each of volume 8 cm³ are joined end to end, then the surface area of the resulting cuboid is:

  • 80 cm²
  • 64 cm²
  • 40 cm²
  • 8 cm²

  • 4. 
    A cylindrical pencil sharpened at one edge is combination of:

  • a cone and a cylinder
  • frustum of a cone and cylinder
  • a hemisphere and a cylinder
  • four cylinders

  • 5. 
    Taking π = \(\frac{22}{7}\), if surface area of a sphere is 616 cm², then its diameter is:

  • 7 cm
  • 14 cm
  • 56 cm
  • 28 cm

  • 6. 
    The area of the square that can be inscribed in a circle of radius 8 cm is (in cm²):

  • 256
  • 128
  • 64√2
  • 64

  • 7. 
    The curved surface area of a right circular cone of height 15 cm and base diameter 16 cm² is:

  • 60π cm²
  • 68π cm²
  • 1200π cm²
  • 136π cm²

  • 8. 
    A shuttle cock used for playing badminton has the shape of a combination of:

  • a cylinder and a sphere
  • a cylinder and a hemisphere
  • a cone and a sphere
  • a frustum of a cone and a hemisphere

  • 9. 
    The total surface area of a solid hemisphere of radius r is:

  • 47πr²
  • 2πr²
  • \(\frac{4}{3}\)πr³
  • 3πr²

  • 10. 
    The radius of a wire is decreased to one third. If volume remains the same, the length will become:

  • 3 times
  • 6 times
  • 9 times
  • 27 times
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