The slant height of a cone is 10 cm, and the radius is 6 cm. What is the total surface area of the cone?

Take π = 3.14

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SSC CGL 2023 Tier-I Official Paper (Held On: 20 Jul 2023 Shift 3)
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  1. 292.4 cm2
  2. 312.2 cm2
  3. 305.4 cm2
  4. 301.44 cm2

Answer (Detailed Solution Below)

Option 4 : 301.44 cm2
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Detailed Solution

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Given:

The slant height of a cone is 10 cm, and the radius is 6 cm.

Formula used:

The curved surface area of the cone = πrl

The radius is r cm and the slant height is l

l2 = r2 + h2.

Total surface = πr(l+r)

Calculation:

As per the question,

The Total surface area of the cone is,

⇒ πr(l+r)

⇒ 3.14 × 6 (10+6)

⇒ 3.14 × 6 × 16

⇒ 301.44 cm2

∴ The correct option is 4

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