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  • 11-10-2019
  • Mathematics
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A cylindrical log has the length of three meters and a radius of 3/20 of a meter. How much space does the log occupy?

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marcthemathtutor
marcthemathtutor marcthemathtutor
  • 11-10-2019

Answer:

0.212 sq-m

Step-by-step explanation:

(refer to attached)

Volume of a cylinder is given by

V =  πr² h, where 3 is the radius and h is the height

in this case, h is given as the length of the cylinder of 3 m

r is given to be (3/20)m

hence,

V =  πr² h

V =  π(3/20)² (3)

V =  π (9/400) (3)

V =  π (27/400)   (assuming π = 3.142)

V =  3.142 (27/400) = 0.212 sq-m

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