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The ratio of the volumes of a right circular cylinder and a sphere is 3 ∶ 2. If the radius of the sphere is double the radius of the base of the cylinder; find the ratio of the curved surface area of the cylinder and surface area of the sphere? 
  • a)
    2 ∶ 1
  • b)
    3 ∶ 1
  • c)
    1 ∶ 2 
  • d)
    4 ∶ 1
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The ratio of the volumes of a right circular cylinder and a sphere is ...
Let radius of cylinder be r and radius of sphere be R
Volume of a right circular cylinder = πr2h
Volume of a sphere = (4/3)πR3
Given,
R = 2r
Ratio of the volumes of a right circular cylinder and a sphere is 3 : 2

⇒ h = 16r
Curved Surface area of a right circular cylinder = 2πrh
Surface area of the sphere = 4πR2
∴ Ratio of the surface areas of the cylinder and the sphere = = 2 : 1
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The ratio of the volumes of a right circular cylinder and a sphere is 3 ∶ 2. If the radius of the sphere is double the radius of the base of the cylinder; find the ratio of the curved surface area of the cylinder and surface area of the sphere?a)2 ∶ 1b)3 ∶ 1c)1 ∶ 2d)4 ∶ 1Correct answer is option 'A'. Can you explain this answer?
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