Find the total surface area of cone whose radius is 5 cm and slant height is 16 cm. (Use π = 22/7 and in cm2)

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UP Police SI (दरोगा) Official PYP (Held On: 21 Nov 2021 Shift 2 )
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  1. 350
  2. 360
  3. 330
  4. 340

Answer (Detailed Solution Below)

Option 3 : 330
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UP Police SI (दरोगा) Official PYP (Held On: 2 Dec 2021 Shift 1)
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Detailed Solution

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Given:

Radius (r) = 5 cm

Slant height (l) = 16 cm

Formula used:

Total surface area of cone = πr(r + l)

Where, π = 22/7

Calculation:

Total surface area = (22/7) × 5 × (5 + 16)

⇒ Total surface area = (22/7) × 5 × 21

⇒ Total surface area = (22 × 5 × 21)/7

⇒ Total surface area = (2310)/7

⇒ Total surface area = 330 cm2

∴ The correct answer is option (3).

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