Quantitative Aptitude – Geometry – Mensuration – A ball of diameter 4 cm
Quantitative Aptitude – Geometry – Mensuration
Question
A ball of diameter 4 cm is kept on top of a hollow cylinder standing vertically. The height of the cylinder is 3 cm, while its volume is 9 π cm^3 . Then the vertical distance, in cm, of the topmost point of the ball from the base of the cylinder is
Answer
6
Solution
As per the question from CAT 2017 – Quantitative Aptitude – Geometry – Mensuration,
The height of the cylinder (h) = 3
The volume = 9Ï€
πr2h = 9π ⇒ r = √3
The radius of the ball (R) = 2
The height of O, the centre of the ball, above the line representing the top of the cylinder is say a. (a = 1) ∴ The height of the topmost point of the ball from the base of the cylinder is h + a +R = 3 + 1 + 2 = 6
Answer: 6
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