Wednesday, May 6, 2020

GENERAL QUESTIONS

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?
volume of cylinder=Π×r²×h
=Π×7²×7
volume of cone=Π×R²×H/3=Π×6²×H/3
volume of cylinder and cone will be same
Π×7²×7=Π×6²×H/3
H=28.58
% of height of cone=(28.58-7/7)×100=308.28

If the volume of a cylinder is 300 m3 and the height to diameter ratio is 3:1, what is the height and diameter of the cylinder?
Given h/d=3/1 or h/2r=3/1 or h/r=6 or h=6r
volume of cyinder=Π×r²×h
300=Π×r²×(6r)
300=Π×6×r³
300/6=Π×r³
50/Π=r³
solve for r=2.51
and h=6×2.51=15.06

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