What is the diameter (in cm) of a sphere

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 3D

Question:

What is the diameter (in cm) of a sphere of surface area 154 sq cm?

Options:

3.5

10.5

Correct Answer:

Explanation:

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