Management Aptitude Test Sep 2013 Paper

Question : 108 of 200

Marks: +1, -0

The trunk of a tree is a right cylinder 1.5 m in radius and 10 m high. What is the volume of the timber which remains when the trunk is trimmed just enough to reduce it to a rectangular parallelepiped on a square base ?

25 $m ^3$
12 $m ^3$
45 $m ^3$
14 $m ^3$

Validate

Solution:

Then,

BD^2 = BC^2 + DC^2

(3)^2 = BC^2+ BC^2

(∵ it has square base, BC = DC)
9 = 2

BC^2

BC =

√{9/2}=3/√2

∴ Volume of parallelopiped
=

3/√2×3/√2×10

{9×10}/2

= 45

m ^3

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