SSC_CPO_Similar_09_Dec_2025_S1_Q145

Question:

If the total surface area of a hemisphere is 1848 cm², find its radius.

यदि एक अर्धगोले का कुल पृष्ठीय क्षेत्रफल 1848 cm² है, तो इसकी त्रिज्या ज्ञात कीजिए।

Options:

  • a) 14 cm
  • b) 7 cm
  • c) 21 cm
  • d) 10 cm
  • a) 14 cm
  • b) 7 cm
  • c) 21 cm
  • d) 10 cm

correct answer : a)

Explanation:

Total Surface Area of a hemisphere = 3 * pi * r^2
1848 = 3 * (22/7) * r^2
1848 = (66/7) * r^2
r^2 = 1848 * 7 / 66 = 28 * 7 = 196
r = √196 = 14 cm.

अर्धगोले का कुल पृष्ठीय क्षेत्रफल = 3 * pi * r^2
1848 = 3 * (22/7) * r^2
1848 = (66/7) * r^2
r^2 = 1848 * 7 / 66 = 28 * 7 = 196
r = √196 = 14 cm.

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