Surface Area and Volume — Important Questions
Maharashtra Board · Class 9 · Mathematics
45 important questions from Surface Area and Volume for Maharashtra Board Class 9 Mathematics, with answers. Includes multiple choice and multiple correct.
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Important Questions from Surface Area and Volume
Which of the following are correct formulas for a cone? (Select all correct options)
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Curved surface area = πrl, Volume = (1/3)πr²h, Total surface area = πr(l + r), Base area = πr²
All formulas are correct except slant height formula. The correct formula is l² = h² + r², not l = h² + r².
A hemisphere has radius 3 cm. Its curved surface area is:
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18π cm²
Curved surface area of hemisphere = 2πr² = 2π × 3² = 2π × 9 = 18π cm²
The volume of a sphere with radius 3 cm is:
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36π cm³
Volume of sphere = (4/3)πr³ = (4/3)π × 3³ = (4/3)π × 27 = 36π cm³
A solid hemisphere has radius 4 cm. Its total surface area is:
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48π cm²
Total surface area of solid hemisphere = 2πr² + πr² = 3πr² = 3π × 4² = 3π × 16 = 48π cm²
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