ICSE Class 10th Mathematics Chapter 20 - Cylinder, cone and sphere Important Questions with Answers

You should focus on solving ICSE Class 10th Mathematics Chapter 20: Cylinder, cone and sphere important questions, especially to help you score high marks. By solving ICSE Class 10th Mathematics 20 questions, you will be solving exam-oriented questions only.
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Prepare thoroughly with the most important questions of ICSE Class 10th Mathematics Chapter 20 - Cylinder, cone and sphere. You can first cover the ICSE Class 10th Mathematics syllabus to understand the key topics and then start solving the ICSE Class 10th Mathematics Chapter 20 - Cylinder, cone and sphere Important Question to get a better understanding of your preparation level. Start practicing now.

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Question 1.

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The height of a circular cylinder is 20 cm and the radius of its base is 7 cm. Find :

  1. the volume
  2. the total surface area.

Question 2.

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The inner radius of a pipe is 2.1 cm. How much water can 12 m of this pipe hold? 

Question 3.

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A cylinder of circumference 8 cm and length 21 cm rolls without sliding for `4 1/2` seconds at the rate of 9 complete rounds per second. Find the distance travelled by the cylinder in `4 1/2` seconds.

Question 4.

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A cylinder of circumference 8 cm and length 21 cm rolls without sliding for `4 1/2` seconds at the rate of 9 complete rounds per second. Find the area covered by the cylinder in `4 1/2` seconds.

Question 5.

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How many cubic meters of earth must be dug out to make a well 28 m deep and 2.8 m in diameter? Also, find the cost of plastering its inner surface at Rs. 4.50 per sq.meter.

Question 6.

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What length of solid cylinder 2 cm in diameter must be taken to recast into a hollow cylinder of external diameter 20 cm, 0.25 cm thick and 15 cm long?

Question 7.

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A cylinder has a diameter of 20 cm. The area of the curved surface is 100 cm2 (sq. cm). Find the height of the cylinder correct to one decimal place. 

Question 8.

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A cylinder has a diameter of 20 cm. The area of the curved surface is 100 cm2 (sq. cm). Find the volume of the cylinder correct to one decimal place.

Question 9.

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A metal pipe has a bore (inner diameter) of 5 cm. The pipe is 5 mm thick all round. Find the weight, in kilogram, of 2 metres of the pipe if 1 cm3 of the metal weights 7.7 g.

Question 10.

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A cylindrical container with diameter of base 42 cm contains sufficient water to submerge a rectangular solid of iron with dimensions 22 cm × 14 cm × 10.5 cm. Find the rise in the level of the water when the solid is submerged.

Great Job! continue working on more practice questions?

Question 1.

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A cylindrical container with internal radius of its base 10 cm, contains water up to a height of 7 cm. Find the area of the wet surface of the cylinder.

Question 2.

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Find the total surface area of an open pipe of length 50 cm, external diameter 20 cm and internal diameter 6 cm.

Question 3.

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The height and the radius of the base of a cylinder are in the ratio 3 : 1. If it volume is 1029 ? cm3; find it total surface area.

Question 4.

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The radius of a solid right circular cylinder increases by 20% and its height decreases by 20%. Find the percentage change in its volume.

Question 5.

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The radius of a solid right circular cylinder decreases by 20% and its height increases by 10%. Find the percentage change in its : volume

Question 6.

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The radius of a solid right circular cylinder decreases by 20% and its height increases by 10%. Find the percentage change in its : curved surface area.

Question 7.

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Find the minimum length in cm and correct to nearest whole number of the thin metal sheet required to make a hollow and closed cylindrical box of diameter 20 cm and height 35 cm. Given that the width of the metal sheet is 1 m. Also, find the cost of the sheet at the rate of Rs. 56 per m.

Find the area of metal sheet required, if 10% of it is wasted in cutting, overlapping, etc.

Question 8.

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3080 cm3 of water is required to fill a cylindrical vessel completely and 2310 cm3 of water is required to fill it upto 5 cm below the top. Find : 

  1. radius of the vessel.
  2. height of the vessel.
  3. wetted surface area of the vessel when it is half-filled with water.

Question 9.

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Find the volume of the largest cylinder formed when a rectangular piece of paper 44 cm by 33 cm is rolled along its :

  1. shorter side.
  2. longer side.

Question 10.

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A metal cube of side 11 cm is completely submerged in water contained in a cylindrical vessel with diameter 28 cm. Find the rise in the level of water.

Great Job! continue working on more practice questions?

Other CISCE Board Class 10th Subjects Important Questions

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