Latest Tech Mahindra Aptitude Question SOLUTION: A cylinder of diameter 14 and height 7 is converted into a cone of radius 6. Now, what could be the percentage height of the new shape ? a. 308% b. 32% c. 2150% d. 215%

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A cylinder of diameter 14 and height 7 is converted into a cone of radius 6. Now, what could be the percentage height of the new shape ?
a. 308%
b. 32%
c. 2150%
d. 215%

Asked In Tech Mahindra Devendra Marghade (5 years ago)

Unsolved Read Solution (1)

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Read Solution (1) :

dinesh kr  (5 years ago)

Volume of cylinder = pi X r2 X h = pi X 49 X 7 = 343pi
Volume of the cone = Volume of cylinder = 343pi -> eq 1
Volume of cone is given by formula = 1/3 (pi X r2
X h) = 36/3(pi)(h) =
12(pi)(h)--> eq 2 (here h is the height of the cone)
From eq 1 and eq 2 we get 343pi = 12(pi)(h)
Therefore, height of the cone = 343/12
Percentage increase in height = ((height of the cone - height of the
cylinder )/ height of the cylinder) X 100%
= (343/12 - 7)/7 X 100
= 259/84 X 100
= 308% approximately.

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