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Mensuration — Practice Quiz

ICSE · Class 10 · Mathematics

Try a 4-question quiz on Mensuration for ICSE Class 10 Mathematics: tap an answer to check it and see why. 35 questions in the full chapter test.

35 questions28 flashcards8 formulas & key relations5 concepts

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A labeled diagram showing a right circular cylinder with its height (h) and radius (r) clearly marked. An adjacent diagram shows the cylinder 'unfolded' into a rectangle (representing the curved surfa
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Quick Quiz: Mensuration

0/4

Tap an answer to check it instantly. No sign-up needed for these 4.

1

Find the curved surface area of a cylinder with radius 7 cm and height 10 cm.

2

The volume of a sphere with radius 6 cm is:

3

A cylindrical tank has radius 3.5 m and height 8 m. Find its volume in cubic meters.

4

The surface area of a sphere is 616 cm². Find its radius.

35 Questions·
multiple choicemultiple correct

Sample Questions

1multiple correct

Which of the following formulas are correct for a cone? (Select all correct)

Show answer

Volume = (1/3)πr²h, Curved surface area = πrl, Total surface area = πr(r + l), Slant height l = √(h² + r²)

All cone formulas: Volume = (1/3)πr²h, Curved SA = πrl, Total SA = πr(r+l), l = √(h²+r²). The formula πr²h is for cylinder volume, not cone.

2multiple choice

A cone has base radius 5 cm and height 12 cm. Its slant height is:

Show answer

13 cm

Slant height l = √(h² + r²) = √(12² + 5²) = √(144 + 25) = √169 = 13 cm. This forms a right triangle with height and radius.

3multiple correct

Which of the following statements about a hemisphere are true? (Select all correct)

Show answer

Volume = (2/3)πr³, Curved surface area = 2πr², Total surface area = 3πr², Volume = (1/2) × sphere volume

Hemisphere formulas: Volume = (2/3)πr³ (half of sphere), Curved SA = 2πr² (half of sphere), Total SA = 3πr² (curved + base). Total SA is 3πr², not 2πr².

4multiple choice

The total surface area of a cylinder with radius 7 cm and height 10 cm is:

Show answer

748 cm²

Total surface area = 2πr(h + r) = 2 × (22/7) × 7 × (10 + 7) = 2 × 22 × 17 = 44 × 17 = 748 cm². This includes curved surface and both circular bases.

+31 more questions on Mensuration (ICSE Class 10 Mathematics)

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Frequently Asked Questions

What are the important topics in Mensuration for ICSE Class 10 Mathematics?
Key topics in Mensuration include Cylinder and Hollow Cylinder, Cone, Sphere, Hemisphere and Shells, Combination of Solids and Application Problems. Study these first, then practise questions on each for the ICSE Class 10 board exam.
How many practice questions are there for Mensuration?
There are 35 questions on Mensuration. Try the 4-question sample quiz on this page first; each answer shows an explanation when you tap it.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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