Class 10 · ICSE · Mathematics

Cylinder, Cone and Sphere

Surface area and volume of a cylinder, cone, sphere and hemisphere, including combinations and conversions of solids.

Questions: 18
PYQs: 0
Topics: 2

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Surface Area of Solids1 Volume and Conversion of Solids2

Questions

18 questions in this chapter.

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Class 10 · Mathematics · Cylinder, Cone and Sphere
A cylindrical vessel of radius 6 cm contains water to a height of 10 cm. A solid sphere of radius 3 cm is dropped in and is completely submerged. Find the rise in the water level.
4 marksHardApplication based
Answer available
Class 10 · Mathematics · Cylinder, Cone and Sphere
Find the volume of a sphere of radius 21 cm. Take π = 22/7.
3 marksMediumNumerical
Answer available
Class 10 · Mathematics · Cylinder, Cone and Sphere
If the radius of a sphere is doubled, its volume becomes:
1 markMediumMCQ
Answer available
Class 10 · Mathematics · Cylinder, Cone and Sphere
The volume of a sphere of radius r is:
1 markEasyMCQ
Answer available
Class 10 · Mathematics · Cylinder, Cone and Sphere
A metallic sphere of radius 3 cm is melted and recast into a cone of base radius 6 cm. Find the height of the cone.
4 marksHardNumerical
Answer available
Class 10 · Mathematics · Cylinder, Cone and Sphere
Find the curved surface area of a cylinder of radius 7 cm and height 10 cm. Take π = 22/7.
3 marksEasyNumerical
Answer available
Class 10 · Mathematics · Cylinder, Cone and Sphere
Find the curved surface area and the total surface area of a hemisphere of radius 7 cm. Take π = 22/7.
3 marksMediumNumerical
Answer available
Class 10 · Mathematics · Cylinder, Cone and Sphere
The curved surface area of a cone of radius r and slant height l is:
1 markMediumMCQ
Answer available
Class 10 · Mathematics · Cylinder, Cone and Sphere
A cone, a hemisphere and a cylinder stand on equal bases and have the same height. Write the ratio of their volumes.
3 marksMediumShort answer
Answer available
Class 10 · Mathematics · Cylinder, Cone and Sphere
Find the surface area of a sphere of radius 7 cm. Take π = 22/7.
2 marksEasyNumerical
Answer available
Class 10 · Mathematics · Cylinder, Cone and Sphere
A cone has radius 7 cm and height 24 cm. Find its slant height, its curved surface area and its volume. Take π = 22/7.
3 marksMediumNumerical
Answer available
Class 10 · Mathematics · Cylinder, Cone and Sphere
Find the total surface area of a cone of radius 7 cm and slant height 25 cm. Take π = 22/7.
3 marksMediumNumerical

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