Let x cm2 be the surface area and y cm3 be...

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Let x cm² be the surface area and y cm³ be the volume of a sphere such that y = 14x. What is the radius (in cm) of the sphere?

A. 102

B. 42

C. 51

D. 68

Answer: Option B

Solution(By Examveda Team)

Surface area of sphere = 4πr² = x cm²
Volume of sphere = $$\frac{4}{3}$$πr³ = y cm³
According to the question,
y = 14x
⇒ $$\frac{4}{3}$$πr³ = 14 × 4πr²
⇒ r = 42 cm

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