Mensuration — Important Questions
Maharashtra Board · Class 10 · Mathematics
45 important questions from Mensuration for Maharashtra Board Class 10 Mathematics, with answers. Includes multiple choice and multiple correct questions.
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Important Questions from Mensuration
Which of the following are correct formulas for a sphere? (Select all correct answers)
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Surface area = 4πr², Volume = (4/3)πr³
For a sphere: Surface area = 4πr² and Volume = (4/3)πr³. The other options are incorrect formulas.
Find the length of an arc with central angle 90° in a circle of radius 14 cm.
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22 cm
Length of arc = (θ/360) × 2πr = (90/360) × 2 × (22/7) × 14 = (1/4) × 2 × 22 × 2 = 22 cm
Which of the following are properties of a hemisphere? (Select all correct answers)
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Curved surface area = 2πr², Volume = (2/3)πr³, Total surface area of solid hemisphere = 3πr²
For hemisphere: Curved surface area = 2πr², Volume = (2/3)πr³, Total surface area of solid = 3πr². The volume (4/3)πr³ is for a complete sphere.
A cone has radius 5 cm and height 12 cm. What is its slant height?
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13 cm
Slant height l = √(h² + r²) = √(12² + 5²) = √(144 + 25) = √169 = 13 cm
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