Volume Utilized

Q. From a solid wooden right circular cylinder, a right circular cone whose radius and height are same as the radius and height of the cylinder respectively, is carved out. What is the ratio of the volume of the utilized wood to that of the wasted wood?
a) 1 : 2
b) 2 : 1
c) 2 : 3
d) 1 : 3



Answer: a

Volume of a right circular cylinder = πr2h. (Total volume to be utilized)
Volume of a right circular cone = 1/3 πr2h. (Volume utilized)

So, the volume which is wasted = πr2h - 1/3 πr2h = 2/3 πr2h.
Ratio of the volume of the utilized wood to that of the wasted wood = 1 : 2.

Itachi443

Some say he’s half man half fish, others say he’s more of a seventy/thirty split. Either way he’s a fishy bastard.

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