Question

the circumference of a truck of a tree cylindrical in shape is 132cm. find the volume of timber that can be obtained from a trunk ,if the length of the trumk is 1.5m

Answer 1

hiii!!!

here's ur answer...

given the circumference = 132cm

therefore 2πr = 132cm

=> 2×22/7×r = 132cm

=> 44/7×r = 132cm

=> r = 132/1×7/44

=> r = 3×7

=> r = 21cm

verification:-

circumference = 2πr

= 2×22/7×21

= 44×3

= 132cm

hence verified

thus the radius is 21cm.

given height (length) of the tree trunk is 1.5m

in cms = 1.5×100

= 150cm

volume of the tree trunk = πr²h

= 22/7×21×21×150

= 22×3×21×150

= 207900cm³

in metres = 207900/1000000

= 0.2079m³

hope this helps..!

Answer 2

height of trunk=1.5m×100=150cm
circumference of trunk=132cm

circumference of circle=2pier
132 =2×22÷7×r
132×7÷2×22=r
radius=184cm


volume of trunk=pie×r2×h
=22÷7×184×184×150
=15960685.714cm sq