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 cm2Volume of sphere = $$\frac{4}{3}$$πr3 = y cm3
According to the question,
y = 14x
⇒ $$\frac{4}{3}$$πr3 = 14 × 4πr2
⇒ r = 42 cm
This Question Belongs to Arithmetic Ability >> Mensuration 3D
Related Questions on Mensuration 3D
A. 1.057 cm3
B. 4.224 cm3
C. 1.056 cm3
D. 42.24 cm3
A sphere and a hemisphere have the same volume. The ratio of their curved surface area is:
A. $${2^{\frac{3}{2}}}:1$$
B. $${2^{\frac{2}{3}}}:1$$
C. $${4^{\frac{2}{3}}}:1$$
D. $${2^{\frac{1}{3}}}:1$$
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