NCERT/Class 10/Mathematics/Surface Areas and Volumes

Surface Areas and Volumes

Class 10 · Mathematics

96 questions28 easy38 medium30 hard

Sample Questions

Q1.The curved surface area of a hemisphere of radius r is:

  • Aπr²
  • B2πr²
  • C3πr²
  • D4πr²

Q2.When calculating the surface area of a new solid formed by joining two solids, why don't we simply add the total surface areas?

  • ABecause the volumes change
  • BBecause some surfaces disappear at the joint
  • CBecause the shapes are not similar
  • DBecause the formula is different

Q3.A cubical block of side 7 cm is surmounted by a hemisphere. The greatest diameter the hemisphere can have is:

  • A7 cm
  • B3.5 cm
  • C14 cm
  • D5 cm

Q4.A wooden article is made by scooping a hemisphere (radius r) from each end of a cylinder (radius r, height 2r). The volume of the resulting solid is:

  • Aπr³(2 − 4/3)
  • B(2/3)πr³
  • Cπr³
  • D2πr³

Q5.A cylinder, cone, and sphere have the same height (= diameter = 2r). The ratio of their volumes is:

  • A3:1:2
  • B1:2:3
  • C2:1:4
  • D3:2:1

Q6.This is a sample question to preview what you'll get in the full practice test...

  • A. Option one
  • B. Option two
  • C. Option three
  • D. Option four
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Concepts Covered

ConeCuboidCylinderFrustum of a coneHemisphereSphereSurface area of combination of solidsVolume of combination of solids

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