If the surface area of a sphere
If the surface area of a sphere is 5544 $ \text cm^2$ , then find its diameter (in cm). (Use π = 22/7)
यदि किसी गोले का पृष्ठीय क्षेत्रफल 5544 $ \text cm^2$है, तो उसका व्यास (सेमी में) ज्ञात कीजिए। (Use π = 22/7)का उपयोग कीजिए।
Detailed Solution & Logic
42
Surface area of a sphere is given by
$ \text{Surface Area} = 4 \pi r^2 $
Given surface area = $5544 \text{ cm}^2$ and $ \pi = \frac{22}{7} $.
Step 1: Substitute the values
$ 4 \times \frac{22}{7} \times r^2 = 5544 $
Step 2: Simplify
$ \frac{88}{7} r^2 = 5544 $
$ r^2 = \frac{5544 \times 7}{88} $
$ r^2 = 441 $
$ r = 21 \text{ cm} $
Step 3: Find diameter
Diameter $= 2r = 2 \times 21 = 42 \text{ cm}$
✅ Answer: 42 cm
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