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?

Answer: Option B

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