SSC_CPO_PYQ_27_June_2024_S1_Q133

Question:

What is the total surface area of a cone whose radius is r/4 and slant height is 4l?

एक शंकु का कुल पृष्ठीय क्षेत्रफल क्या है जिसकी त्रिज्या r/4 और तिर्यक ऊँचाई 4l है?

Options:

  • a) Option A
  • b) Option B
  • c) Option C
  • d) Option D
  • a) Option A
  • b) Option B
  • c) Option C
  • d) Option D

correct answer : c)

Explanation:

Total Surface Area (TSA) of a cone = π × R × (R + L)
Here, R = r / 4, L = 4l.
TSA = π × (r / 4) × (r / 4 + 4l)
= π × r × (r / 16 + l)
= π r (l + r / 16).

शंकु का कुल पृष्ठीय क्षेत्रफल (TSA) = π × R × (R + L)
यहाँ, R = r / 4, L = 4l.
TSA = π × (r / 4) × (r / 4 + 4l)
= π × r × (r / 16 + l)
= π r (l + r / 16).

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