Mensuration — Important Questions
ICSE · Class 10 · Mathematics
35 important questions from Mensuration for ICSE Class 10 Mathematics, with answers. Includes multiple choice and multiple correct questions.
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Get startedImportant Questions from Mensuration
Which of the following formulas are correct for a cone? (Select all correct)
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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.
A cone has base radius 5 cm and height 12 cm. Its slant height is:
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13 cm
Slant height l = √(h² + r²) = √(12² + 5²) = √(144 + 25) = √169 = 13 cm. This forms a right triangle with height and radius.
Which of the following statements about a hemisphere are true? (Select all correct)
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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.
The total surface area of a cylinder with radius 7 cm and height 10 cm is:
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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.
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