If the ratio of the circumference of the base of a right circular cone of radius r to its height is 3 : 1, then what is the area of the curved surface of the cone?a)3andpi;r2b)[2andpi;r2andradic;(4andpi;2 +9)]/3c)[andpi;r2 andradic;(andpi;2+ 1)]/3d)[andpi;r2andradic;(4andpi;2+ 9)]/3Correct answer is option 'D'. Can you explain this answer?

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If the ratio of the circumference of the base of a right circular cone of radius r to its height is 3 : 1, then what is the area of the curved surface of the cone?

a)
3πr²
b)
[2πr² √(4π^{2 +} 9)]/3
c)
[πr² √(π² + 1)]/3
d)
[πr²√(4π² + 9)]/3

Correct answer is option 'D'. Can you explain this answer?

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CDS I - Mathematics Previous Year Question Paper 2018

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If the ratio of the circumference of the base of a right circular cone...

Given 2πr/h = 3/1
∴ r : h = 3 : 2π
l = √(r² + h²)
⇒ r × √[1 + (h/r)²]
⇒ r × √[1 + (2π/3)²] = r/3 × √(4π² + 9)
Curved surface area of cone = πrl
⇒ πr × r/3 × √(4π² + 9)
⇒ [πr² √(4π² + 9)]/3

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If the ratio of the circumference of the base of a right circular cone of radius r to its height is 3 : 1, then what is the area of the curved surface of the cone?a)3πr2b)[2πr2√(4π2 +9)]/3c)[πr2 √(π2+ 1)]/3d)[πr2√(4π2+ 9)]/3Correct answer is option 'D'. Can you explain this answer?

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