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What is the radius, in inches, of a right circular cylinder if its lateral surface area is 3.5 square inches and its volume is 8.5 cubic inches?

 May 12, 2021
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Volumecyl  = pi r^2 h     Plug in the values given

8.5             = pi (r^2) h              lateral surface area = pi d h  = 3.5     so h =  3.5 / (pi2r)       sub into the equation

8.5 =  pi r^2 ( 3.5/ pi 2 r) 

 

8.5 =    3.5 r/2

17/3.5 = r   = 4.857 cm     

 May 12, 2021

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