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CUET
General Test
Quantitative Reasoning
Mensuration: 3D
What is the diameter (in cm) of a sphere of surface area 154 sq cm?
3.5
14
10.5
7
Surface area of a sphere = 4\(\pi \)r2 = 154
⇒ r2 = \(\frac{154 × 7}{22 × 4}\)
⇒ r2 = \(\frac{49}{4}\)
⇒ r = \(\frac{7}{2}\)
⇒ diameter = 3.5 x 2 =7cm