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The main trunk of a tree is in the shape of a cylinder. The distance around its cross-section is 47.1 cm and its height is 0.7 m.

a) What is the radius of the cross-section?
b) What volume of wood is there in the trunk? Show your work.

 Jan 26, 2021
 #1
avatar+116126 
+1

(a) The distance  around the  cross-section  is the  circumference  of a circle and we  can  find the radius thusly:

 

47.1  = 2 pi * r

 

47.1 / (2pi)   = r   ( in cm )

 

(b)  Volume of a  cylinder = 

 

pi  * r^2  * height   =

 

[ Note that .7 m =   70cm]

 

pi  [ 47.1  / (2pi) ] ^2  * 70        ≈  12357.5  cm ^3

 

cool cool cool

 Jan 26, 2021

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