The curved surface area of a right circular cone of radius 28 cm is 4664 cm2. What is the slant height of the cone?(Use π=22/7)

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SSC CHSL 2021 (Held On : 30 May 2022 Shift 3)
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  1. 53 cm
  2. 56 cm
  3. 64 cm
  4. 48 cm

Answer (Detailed Solution Below)

Option 1 : 53 cm
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SSC CHSL Exam 2023 Tier-I Official Paper (Held On: 02 Aug 2023 Shift 1)
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Detailed Solution

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Given:

Curved surface area of a cone = 4664 \(cm^2\)

radius = 28 cm

Formula used:

Curved surface area of cone = π × r × l

where l = slant height; r = radius

Calculation:

Curved surface area = 4664

⇒ π × r × l = 4664

⇒ 22/7 × 28 × l = 4664

⇒ l = 53 cm

∴ Slant height i.e. l is 53 cm.

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