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The curved surface area of a right circular cone of radius 7 cm is 550 sq cm. The slant height of the cone is ______. - Mathematics

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Question

The curved surface area of a right circular cone of radius 7 cm is 550 sq cm. The slant height of the cone is ______.

Options

  • 24 cm

  • 25 cm

  • 22 cm

  • 20 cm

MCQ
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Solution

The curved surface area of a right circular cone of radius 7 cm is 550 sq cm. The slant height of the cone is 25 cm.

Explanation:

Given that, Curved Surface Area of a right circular cone = 550 sq. cm

Radius of a right circular cone, r = 7 cm

To Find: Slant Height of a right circular cone

Curved Surface Area of a right circular cone = πrl

550 = `22/7 xx 7 xx l`

550 = 22 × l

l = `550/22 = 25`cm

∴ Slant Height of a right circular cone, I = 25 cm

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2023-2024 (February) Basic - Delhi Set 3
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