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Maharashtra State BoardSSC (English Medium) 10th Standard

The radius of a cone is 7 cm and height is 24 cm. What is its curred surface area?

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Question

The radius of a cone is 7 cm and height is 24 cm. What is its curred surface area?

Options

  • 550 cm2

  • 110 cm2

  • 440 cm2

  • 330 cm2

MCQ
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Solution

550 cm2

Explanation:

Slant height `l = sqrt(r^2 + h^2)` 

= `sqrt(7^2 + 24^2)` 

= `sqrt(49 + 576)`

= `sqrt(625)`

= 25

Curved surface area = πrl 

= π × 7 × 25

= 175π

Using `π = 22/7` gives `175 × (22/7)` = 550 cm2 (or 175 × 3.14 ≈ 549.5 ≈ 550).

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Chapter 7: Mensuration - Q.1 (A)
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